256132192464125 has 32 divisors (see below), whose sum is σ = 324874024356960. Its totient is φ = 201584772480000.

The previous prime is 256132192464097. The next prime is 256132192464167. The reversal of 256132192464125 is 521464291231652.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 194407081684036 + 61725110780089 = 13942994^2 + 7856533^2 .

It is not a de Polignac number, because 256132192464125 - 2³⁰ = 256131118722301 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62628380 + ... + 66592629.

It is an arithmetic number, because the mean of its divisors is an integer number (10152313261155).

Almost surely, 2^{256132192464125} is an apocalyptic number.

256132192464125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

256132192464125 is a deficient number, since it is larger than the sum of its proper divisors (68741831892835).

256132192464125 is a wasteful number, since it uses less digits than its factorization.

256132192464125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129221282 (or 129221272 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 53.

The spelling of 256132192464125 in words is "two hundred fifty-six trillion, one hundred thirty-two billion, one hundred ninety-two million, four hundred sixty-four thousand, one hundred twenty-five".