256172960713 has 32 divisors (see below), whose sum is σ = 284218871328. Its totient is φ = 229887590400.

The previous prime is 256172960689. The next prime is 256172960737. The reversal of 256172960713 is 317069271652.

It is an interprime number because it is at equal distance from previous prime (256172960689) and next prime (256172960737).

It can be written as a sum of positive squares in 16 ways, for example, as 239186530489 + 16986430224 = 489067^2 + 130332^2 .

It is not a de Polignac number, because 256172960713 - 2¹³ = 256172952521 is a prime.

It is a super-3 number, since 3×256172960713³ (a number of 35 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (256172960413) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6655981 + ... + 6694357.

It is an arithmetic number, because the mean of its divisors is an integer number (8881839729).

Almost surely, 2^256172960713 is an apocalyptic number.

It is an amenable number.

256172960713 is a deficient number, since it is larger than the sum of its proper divisors (28045910615).

256172960713 is a wasteful number, since it uses less digits than its factorization.

256172960713 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38653.

The product of its (nonzero) digits is 952560, while the sum is 49.

The spelling of 256172960713 in words is "two hundred fifty-six billion, one hundred seventy-two million, nine hundred sixty thousand, seven hundred thirteen".