257841504081933 has 16 divisors (see below), whose sum is σ = 347294689996800. Its totient is φ = 170142945032304.

The previous prime is 257841504081923. The next prime is 257841504081961. The reversal of 257841504081933 is 339180405148752.

It is not a de Polignac number, because 257841504081933 - 2³² = 257837209114637 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257841504081923) 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, 201601633 + ... + 202876566.

It is an arithmetic number, because the mean of its divisors is an integer number (21705918124800).

Almost surely, 2^{257841504081933} is an apocalyptic number.

It is an amenable number.

257841504081933 is a deficient number, since it is larger than the sum of its proper divisors (89453185914867).

257841504081933 is a wasteful number, since it uses less digits than its factorization.

257841504081933 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404480368.

The product of its (nonzero) digits is 29030400, while the sum is 60.

The spelling of 257841504081933 in words is "two hundred fifty-seven trillion, eight hundred forty-one billion, five hundred four million, eighty-one thousand, nine hundred thirty-three".