256507175315201 has 8 divisors (see below), whose sum is σ = 265352938643880. Its totient is φ = 247661457874432.

The previous prime is 256507175315197. The next prime is 256507175315207. The reversal of 256507175315201 is 102513571705652.

It can be written as a sum of positive squares in 4 ways, for example, as 87073607592976 + 169433567722225 = 9331324^2 + 13016665^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 256507175315201 - 2² = 256507175315197 is a prime.

It is a super-2 number, since 2×256507175315201² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 256507175315201.

It is not an unprimeable number, because it can be changed into a prime (256507175315207) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 98321 + ... + 22650033.

It is an arithmetic number, because the mean of its divisors is an integer number (33169117330485).

Almost surely, 2^{256507175315201} is an apocalyptic number.

It is an amenable number.

256507175315201 is a deficient number, since it is larger than the sum of its proper divisors (8845763328679).

256507175315201 is a wasteful number, since it uses less digits than its factorization.

256507175315201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22943955.

The product of its (nonzero) digits is 2205000, while the sum is 50.

The spelling of 256507175315201 in words is "two hundred fifty-six trillion, five hundred seven billion, one hundred seventy-five million, three hundred fifteen thousand, two hundred one".