257601235941 has 48 divisors (see below), whose sum is σ = 432614632320. Its totient is φ = 144654629760.

The previous prime is 257601235889. The next prime is 257601235949. The reversal of 257601235941 is 149532106752.

257601235941 is a `hidden beast` number, since 2 + 5 + 7 + 601 + 2 + 35 + 9 + 4 + 1 = 666.

It is not a de Polignac number, because 257601235941 - 2⁹ = 257601235429 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257601235949) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4231666 + ... + 4292108.

It is an arithmetic number, because the mean of its divisors is an integer number (9012804840).

Almost surely, 2^257601235941 is an apocalyptic number.

257601235941 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

257601235941 is a deficient number, since it is larger than the sum of its proper divisors (175013396379).

257601235941 is a wasteful number, since it uses less digits than its factorization.

257601235941 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61626 (or 61623 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 257601235941 in words is "two hundred fifty-seven billion, six hundred one million, two hundred thirty-five thousand, nine hundred forty-one".