256517270251353 has 16 divisors (see below), whose sum is σ = 381699707088960. Its totient is φ = 170258158811808.

The previous prime is 256517270251279. The next prime is 256517270251357. The reversal of 256517270251353 is 353152072715652.

256517270251353 is a `hidden beast` number, since 2 + 5 + 6 + 5 + 1 + 7 + 2 + 70 + 2 + 513 + 53 = 666.

256517270251353 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 256517270251353 - 2¹⁴ = 256517270234969 is a prime.

It is a super-2 number, since 2×256517270251353² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 256517270251353.

It is not an unprimeable number, because it can be changed into a prime (256517270251357) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20926512900 + ... + 20926525157.

It is an arithmetic number, because the mean of its divisors is an integer number (23856231693060).

Almost surely, 2^{256517270251353} is an apocalyptic number.

It is an amenable number.

256517270251353 is a deficient number, since it is larger than the sum of its proper divisors (125182436837607).

256517270251353 is a wasteful number, since it uses less digits than its factorization.

256517270251353 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41853038293 (or 41853038287 counting only the distinct ones).

The product of its (nonzero) digits is 13230000, while the sum is 54.

The spelling of 256517270251353 in words is "two hundred fifty-six trillion, five hundred seventeen billion, two hundred seventy million, two hundred fifty-one thousand, three hundred fifty-three".