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540061225 = 521119412521
BaseRepresentation
bin100000001100001…
…010111000101001
31101122012221201121
4200030022320221
52101223424400
6125331215241
716245305344
oct4014127051
91348187647
10540061225
11257939aa0
12130a47521
1387b70772
1451a2345b
153262d21a
hex2030ae29

540061225 has 48 divisors (see below), whose sum is σ = 788074560. Its totient is φ = 362880000.

The previous prime is 540061157. The next prime is 540061231. The reversal of 540061225 is 522160045.

It is not a de Polignac number, because 540061225 - 215 = 540028457 is a prime.

It is a super-2 number, since 2×5400612252 = 583332253497001250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a self number, because there is not a number n which added to its sum of digits gives 540061225.

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 47 ways as a sum of consecutive naturals, for example, 212965 + ... + 215485.

It is an arithmetic number, because the mean of its divisors is an integer number (16418220).

Almost surely, 2540061225 is an apocalyptic number.

540061225 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

540061225 is a deficient number, since it is larger than the sum of its proper divisors (248013335).

540061225 is a wasteful number, since it uses less digits than its factorization.

540061225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2602 (or 2597 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 540061225 is about 23239.2173921585. The cubic root of 540061225 is about 814.3560597818.

The spelling of 540061225 in words is "five hundred forty million, sixty-one thousand, two hundred twenty-five".

Divisors: 1 5 11 19 25 41 55 95 205 209 275 451 475 779 1025 1045 2255 2521 3895 5225 8569 11275 12605 19475 27731 42845 47899 63025 103361 138655 214225 239495 516805 526889 693275 1136971 1197475 1963859 2584025 2634445 5684855 9819295 13172225 21602449 28424275 49096475 108012245 540061225