10508936625 has 256 divisors, whose sum is σ = 22535884800. Its totient is φ = 4783968000.

The previous prime is 10508936621. The next prime is 10508936629. The reversal of 10508936625 is 52663980501.

10508936625 is a `hidden beast` number, since 10 + 5 + 0 + 8 + 9 + 3 + 6 + 625 = 666.

It is an interprime number because it is at equal distance from previous prime (10508936621) and next prime (10508936629).

It is not a de Polignac number, because 10508936625 - 2² = 10508936621 is a prime.

It is a super-2 number, since 2×10508936625² (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 not an unprimeable number, because it can be changed into a prime (10508936621) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 46294762 + ... + 46294988.

It is an arithmetic number, because the mean of its divisors is an integer number (88030800).

Almost surely, 2^10508936625 is an apocalyptic number.

10508936625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10508936625 is an abundant number, since it is smaller than the sum of its proper divisors (12026948175).

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

10508936625 is a wasteful number, since it uses less digits than its factorization.

10508936625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 10508936625 in words is "ten billion, five hundred eight million, nine hundred thirty-six thousand, six hundred twenty-five".