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1052656065 = 3251723292063
BaseRepresentation
bin111110101111100…
…100000111000001
32201100202110122200
4332233210013001
54123434443230
6252242023413
735041300056
oct7657440701
92640673580
101052656065
114a021909a
12254647b69
1313a115516
149db3702d
1562633160
hex3ebe41c1

1052656065 has 96 divisors (see below), whose sum is σ = 2086456320. Its totient is φ = 487753728.

The previous prime is 1052656063. The next prime is 1052656079. The reversal of 1052656065 is 5606562501.

It is a happy number.

1052656065 is a `hidden beast` number, since 10 + 5 + 26 + 560 + 65 = 666.

It is not a de Polignac number, because 1052656065 - 21 = 1052656063 is a prime.

It is a super-2 number, since 2×10526560652 = 2216169582362568450, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1052656061) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 509224 + ... + 511286.

It is an arithmetic number, because the mean of its divisors is an integer number (21733920).

Almost surely, 21052656065 is an apocalyptic number.

1052656065 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1052656065 is a deficient number, since it is larger than the sum of its proper divisors (1033800255).

1052656065 is a wasteful number, since it uses less digits than its factorization.

1052656065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2143 (or 2140 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 1052656065 is about 32444.6615793723. The cubic root of 1052656065 is about 1017.2526557611.

The spelling of 1052656065 in words is "one billion, fifty-two million, six hundred fifty-six thousand, sixty-five".

Divisors: 1 3 5 9 15 17 23 29 45 51 69 85 87 115 145 153 207 255 261 345 391 435 493 667 765 1035 1173 1305 1479 1955 2001 2063 2465 3335 3519 4437 5865 6003 6189 7395 10005 10315 11339 17595 18567 22185 30015 30945 34017 35071 47449 56695 59827 92835 102051 105213 142347 170085 175355 179481 237245 299135 315639 427041 510255 526065 538443 711735 806633 897405 1017059 1376021 1578195 2135205 2419899 2692215 3051177 4033165 4128063 5085295 6880105 7259697 9153531 12099495 12384189 15255885 20640315 23392357 36298485 45767655 61920945 70177071 116961785 210531213 350885355 1052656065