12640542525 has 72 divisors (see below), whose sum is σ = 25816550760. Its totient is φ = 5856952320.

The previous prime is 12640542503. The next prime is 12640542553. The reversal of 12640542525 is 52524504621.

12640542525 is a `hidden beast` number, since 1 + 2 + 64 + 0 + 542 + 52 + 5 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 8542750329 + 4097792196 = 92427^2 + 64014^2 .

It is not a de Polignac number, because 12640542525 - 2¹¹ = 12640540477 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 12640542525.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 77380 + ... + 176829.

It is an arithmetic number, because the mean of its divisors is an integer number (358563205).

Almost surely, 2^12640542525 is an apocalyptic number.

12640542525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12640542525 is an abundant number, since it is smaller than the sum of its proper divisors (13176008235).

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

12640542525 is a wasteful number, since it uses less digits than its factorization.

12640542525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254255 (or 254247 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 12640542525 in words is "twelve billion, six hundred forty million, five hundred forty-two thousand, five hundred twenty-five".