256510045501731 has 12 divisors (see below), whose sum is σ = 423445154479152. Its totient is φ = 146577168858096.

The previous prime is 256510045501691. The next prime is 256510045501849. The reversal of 256510045501731 is 137105540015652.

256510045501731 is a `hidden beast` number, since 2 + 5 + 6 + 5 + 100 + 4 + 5 + 501 + 7 + 31 = 666.

It is not a de Polignac number, because 256510045501731 - 2²² = 256510041307427 is a prime.

It is a super-2 number, since 2×256510045501731² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (256510045501331) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 2035794011856 + ... + 2035794011981.

It is an arithmetic number, because the mean of its divisors is an integer number (35287096206596).

Almost surely, 2^{256510045501731} is an apocalyptic number.

256510045501731 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

256510045501731 is a deficient number, since it is larger than the sum of its proper divisors (166935108977421).

256510045501731 is a wasteful number, since it uses less digits than its factorization.

256510045501731 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4071588023850 (or 4071588023847 counting only the distinct ones).

The product of its (nonzero) digits is 630000, while the sum is 45.

The spelling of 256510045501731 in words is "two hundred fifty-six trillion, five hundred ten billion, forty-five million, five hundred one thousand, seven hundred thirty-one".