10557456525 has 144 divisors (see below), whose sum is σ = 24389688960. Its totient is φ = 4236019200.

The previous prime is 10557456521. The next prime is 10557456607. The reversal of 10557456525 is 52565475501.

10557456525 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 74 + 56 + 525 = 666.

It is not a de Polignac number, because 10557456525 - 2² = 10557456521 is a prime.

It is a super-2 number, since 2×10557456525² (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 Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10557456521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 491919 + ... + 512931.

It is an arithmetic number, because the mean of its divisors is an integer number (169372840).

Almost surely, 2^10557456525 is an apocalyptic number.

10557456525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10557456525 is an abundant number, since it is smaller than the sum of its proper divisors (13832232435).

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

10557456525 is a wasteful number, since it uses less digits than its factorization.

10557456525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21076 (or 21068 counting only the distinct ones).

The product of its (nonzero) digits is 1050000, while the sum is 45.

The spelling of 10557456525 in words is "ten billion, five hundred fifty-seven million, four hundred fifty-six thousand, five hundred twenty-five".