12513558262590 has 192 divisors, whose sum is σ = 42698348259840. Its totient is φ = 2463366193920.

The previous prime is 12513558262573. The next prime is 12513558262603. The reversal of 12513558262590 is 9526285531521.

12513558262590 is a `hidden beast` number, since 1 + 2 + 5 + 1 + 3 + 5 + 5 + 8 + 2 + 625 + 9 + 0 = 666.

It is a Curzon number.

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 95 ways as a sum of consecutive naturals, for example, 47386969 + ... + 47650308.

It is an arithmetic number, because the mean of its divisors is an integer number (222387230520).

Almost surely, 2^{12513558262590} is an apocalyptic number.

12513558262590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12513558262590 is an abundant number, since it is smaller than the sum of its proper divisors (30184789997250).

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

12513558262590 is a wasteful number, since it uses less digits than its factorization.

12513558262590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95037327 (or 95037324 counting only the distinct ones).

The product of its (nonzero) digits is 6480000, while the sum is 54.

The spelling of 12513558262590 in words is "twelve trillion, five hundred thirteen billion, five hundred fifty-eight million, two hundred sixty-two thousand, five hundred ninety".