10634577525 has 144 divisors (see below), whose sum is σ = 22594178880. Its totient is φ = 4713523200.

The previous prime is 10634577517. The next prime is 10634577563. The reversal of 10634577525 is 52577543601.

It is a happy number.

10634577525 is a `hidden beast` number, since 1 + 0 + 634 + 5 + 7 + 7 + 5 + 2 + 5 = 666.

It is not a de Polignac number, because 10634577525 - 2³ = 10634577517 is a prime.

It is a super-2 number, since 2×10634577525² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3441181 + ... + 3444269.

It is an arithmetic number, because the mean of its divisors is an integer number (156904020).

Almost surely, 2^10634577525 is an apocalyptic number.

10634577525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10634577525 is an abundant number, since it is smaller than the sum of its proper divisors (11959601355).

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

10634577525 is a wasteful number, since it uses less digits than its factorization.

10634577525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3236 (or 3228 counting only the distinct ones).

The product of its (nonzero) digits is 882000, while the sum is 45.

The spelling of 10634577525 in words is "ten billion, six hundred thirty-four million, five hundred seventy-seven thousand, five hundred twenty-five".