256264216175 has 36 divisors (see below), whose sum is σ = 365861032056. Its totient is φ = 176564750400.

The previous prime is 256264216171. The next prime is 256264216177. The reversal of 256264216175 is 571612462652.

It is not a de Polignac number, because 256264216175 - 2² = 256264216171 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256264216171) 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 35 ways as a sum of consecutive naturals, for example, 1191404 + ... + 1389953.

It is an arithmetic number, because the mean of its divisors is an integer number (10162806446).

Almost surely, 2^256264216175 is an apocalyptic number.

256264216175 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

256264216175 is a deficient number, since it is larger than the sum of its proper divisors (109596815881).

256264216175 is a wasteful number, since it uses less digits than its factorization.

256264216175 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2581416 (or 2581392 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 47.

The spelling of 256264216175 in words is "two hundred fifty-six billion, two hundred sixty-four million, two hundred sixteen thousand, one hundred seventy-five".