257631232732017 has 64 divisors (see below), whose sum is σ = 383432930150400. Its totient is φ = 152913046440960.

The previous prime is 257631232731973. The next prime is 257631232732057. The reversal of 257631232732017 is 710237232136752.

It is not a de Polignac number, because 257631232732017 - 2²⁷ = 257631098514289 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (257631232732057) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1768922923 + ... + 1769068559.

It is an arithmetic number, because the mean of its divisors is an integer number (5991139533600).

Almost surely, 2^{257631232732017} is an apocalyptic number.

It is an amenable number.

257631232732017 is a deficient number, since it is larger than the sum of its proper divisors (125801697418383).

257631232732017 is a wasteful number, since it uses less digits than its factorization.

257631232732017 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148406.

The product of its (nonzero) digits is 4445280, while the sum is 51.

Adding to 257631232732017 its reverse (710237232136752), we get a palindrome (967868464868769).

The spelling of 257631232732017 in words is "two hundred fifty-seven trillion, six hundred thirty-one billion, two hundred thirty-two million, seven hundred thirty-two thousand, seventeen".