256462401125 has 64 divisors (see below), whose sum is σ = 368645921280. Its totient is φ = 174490560000.

The previous prime is 256462401113. The next prime is 256462401131. The reversal of 256462401125 is 521104264652.

It is not a de Polignac number, because 256462401125 - 2¹⁶ = 256462335589 is a prime.

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 63 ways as a sum of consecutive naturals, for example, 90974966 + ... + 90977784.

It is an arithmetic number, because the mean of its divisors is an integer number (5760092520).

Almost surely, 2^256462401125 is an apocalyptic number.

256462401125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

256462401125 is a deficient number, since it is larger than the sum of its proper divisors (112183520155).

256462401125 is a wasteful number, since it uses less digits than its factorization.

256462401125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3615 (or 3605 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 38.

Adding to 256462401125 its reverse (521104264652), we get a palindrome (777566665777).

The spelling of 256462401125 in words is "two hundred fifty-six billion, four hundred sixty-two million, four hundred one thousand, one hundred twenty-five".