257653600354256 has 20 divisors (see below), whose sum is σ = 505218354914112. Its totient is φ = 127274670053856.

The previous prime is 257653600354229. The next prime is 257653600354259. The reversal of 257653600354256 is 652453006356752.

It is a hoax number, since the sum of its digits (59) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 257653600354195 and 257653600354204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257653600354259) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 97008131336 + ... + 97008133991.

Almost surely, 2^{257653600354256} is an apocalyptic number.

It is an amenable number.

257653600354256 is a deficient number, since it is larger than the sum of its proper divisors (247564754559856).

257653600354256 is a wasteful number, since it uses less digits than its factorization.

257653600354256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194016265418 (or 194016265412 counting only the distinct ones).

The product of its (nonzero) digits is 136080000, while the sum is 59.

The spelling of 257653600354256 in words is "two hundred fifty-seven trillion, six hundred fifty-three billion, six hundred million, three hundred fifty-four thousand, two hundred fifty-six".