65155115025 has 729 divisors, whose sum is σ = 171640988883. Its totient is φ = 23524300800.

The previous prime is 65155115023. The next prime is 65155115033. The reversal of 65155115025 is 52051155156.

65155115025 = 1³ + 2³ + ... + 714³.

The square root of 65155115025 is 255255.

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

65155115025 is a `hidden beast` number, since 6 + 51 + 551 + 1 + 50 + 2 + 5 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 47451215889 + 17703899136 = 217833^2 + 133056^2 .

It is not a de Polignac number, because 65155115025 - 2¹ = 65155115023 is a prime.

It is not an unprimeable number, because it can be changed into a prime (65155115023) by changing a digit.

It is a polite number, since it can be written in 728 ways as a sum of consecutive naturals, for example, 3832653817 + ... + 3832653833.

Almost surely, 2^65155115025 is an apocalyptic number.

65155115025 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

65155115025 is the 255255-th square number.

65155115025 is the 127628-th centered octagonal number.

It is an amenable number.

65155115025 is an abundant number, since it is smaller than the sum of its proper divisors (106485873858).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

65155115025 is a wasteful number, since it uses less digits than its factorization.

65155115025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 37500, while the sum is 36.

Multiplying 65155115025 by its sum of digits (36), we get a square (2345584140900 = 1531530²).

The spelling of 65155115025 in words is "sixty-five billion, one hundred fifty-five million, one hundred fifteen thousand, twenty-five".