10128164625 has 24 divisors (see below), whose sum is σ = 18257706792. Its totient is φ = 5401687200.

The previous prime is 10128164617. The next prime is 10128164639. The reversal of 10128164625 is 52646182101.

It is a happy number.

10128164625 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 8 + 1 + 646 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1834237584 + 8293927041 = 42828^2 + 91071^2 .

It is not a de Polignac number, because 10128164625 - 2³ = 10128164617 is a prime.

It is a super-2 number, since 2×10128164625² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10128164625.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4500282 + ... + 4502531.

It is an arithmetic number, because the mean of its divisors is an integer number (760737783).

Almost surely, 2^10128164625 is an apocalyptic number.

10128164625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10128164625 is a deficient number, since it is larger than the sum of its proper divisors (8129542167).

10128164625 is an equidigital number, since it uses as much as digits as its factorization.

10128164625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9002834 (or 9002821 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 10128164625 in words is "ten billion, one hundred twenty-eight million, one hundred sixty-four thousand, six hundred twenty-five".