10525564364625 has 48 divisors (see below), whose sum is σ = 18975655417680. Its totient is φ = 5613169420800.

The previous prime is 10525564364621. The next prime is 10525564364647. The reversal of 10525564364625 is 52646346552501.

10525564364625 is a `hidden beast` number, since 1 + 0 + 5 + 2 + 5 + 5 + 6 + 4 + 3 + 6 + 4 + 625 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 930630654864 + 9594933709761 = 964692^2 + 3097569^2 .

It is not a de Polignac number, because 10525564364625 - 2² = 10525564364621 is a prime.

It is a super-2 number, since 2×10525564364625² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10525564364621) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13421337 + ... + 14183913.

It is an arithmetic number, because the mean of its divisors is an integer number (395326154535).

Almost surely, 2^{10525564364625} is an apocalyptic number.

10525564364625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10525564364625 is a deficient number, since it is larger than the sum of its proper divisors (8450091053055).

10525564364625 is a wasteful number, since it uses less digits than its factorization.

10525564364625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 774867 (or 774854 counting only the distinct ones).

The product of its (nonzero) digits is 25920000, while the sum is 54.

The spelling of 10525564364625 in words is "ten trillion, five hundred twenty-five billion, five hundred sixty-four million, three hundred sixty-four thousand, six hundred twenty-five".