257057512424241 has 16 divisors (see below), whose sum is σ = 342886019678208. Its totient is φ = 171300352418000.

The previous prime is 257057512424233. The next prime is 257057512424291. The reversal of 257057512424241 is 142424215750752.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 257057512424241 - 2³ = 257057512424233 is a prime.

It is not an unprimeable number, because it can be changed into a prime (257057512424231) 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, 81976816 + ... + 85054766.

It is an arithmetic number, because the mean of its divisors is an integer number (21430376229888).

Almost surely, 2^{257057512424241} is an apocalyptic number.

It is an amenable number.

257057512424241 is a deficient number, since it is larger than the sum of its proper divisors (85828507253967).

257057512424241 is a wasteful number, since it uses less digits than its factorization.

257057512424241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3089532.

The product of its (nonzero) digits is 6272000, while the sum is 51.

The spelling of 257057512424241 in words is "two hundred fifty-seven trillion, fifty-seven billion, five hundred twelve million, four hundred twenty-four thousand, two hundred forty-one".