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713691225 = 32521321372
BaseRepresentation
bin101010100010100…
…001000001011001
31211201221021022100
4222202201001121
52430201104400
6154452514013
723454163302
oct5242410131
91751837270
10713691225
11336950865
1217b01b909
13b4b24100
146aadd7a9
15429c9100
hex2a8a1059

713691225 has 81 divisors (see below), whose sum is σ = 1394372343. Its totient is φ = 348791040.

The previous prime is 713691211. The next prime is 713691233. The reversal of 713691225 is 522196317.

The square root of 713691225 is 26715.

It is a perfect power (a square), and thus also a powerful number.

713691225 is a `hidden beast` number, since 71 + 369 + 1 + 225 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 633982041 + 79709184 = 25179^2 + 8928^2 .

It is not a de Polignac number, because 713691225 - 211 = 713689177 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 713691225.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 5209357 + ... + 5209493.

Almost surely, 2713691225 is an apocalyptic number.

713691225 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

713691225 is the 26715-th square number.

713691225 is the 13358-th centered octagonal number.

It is an amenable number.

713691225 is a deficient number, since it is larger than the sum of its proper divisors (680681118).

713691225 is a wasteful number, since it uses less digits than its factorization.

713691225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 158 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The cubic root of 713691225 is about 893.6554720962.

Multiplying 713691225 by its sum of digits (36), we get a square (25692884100 = 1602902).

The spelling of 713691225 in words is "seven hundred thirteen million, six hundred ninety-one thousand, two hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 39 45 65 75 117 137 169 195 225 325 411 507 585 685 845 975 1233 1521 1781 2055 2535 2925 3425 4225 5343 6165 7605 8905 10275 12675 16029 18769 23153 26715 30825 38025 44525 56307 69459 80145 93845 115765 133575 168921 208377 243997 281535 347295 400725 469225 578825 731991 844605 1041885 1219985 1407675 1736475 2195973 3171961 3659955 4223025 5209425 6099925 9515883 10979865 15859805 18299775 28547649 47579415 54899325 79299025 142738245 237897075 713691225