257018711764231 has 2 divisors, whose sum is σ = 257018711764232. Its totient is φ = 257018711764230.

The previous prime is 257018711764219. The next prime is 257018711764253. The reversal of 257018711764231 is 132467117810752.

257018711764231 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 257018711764231 - 2³⁷ = 256881272810759 is a prime.

It is a super-2 number, since 2×257018711764231² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257018711464231) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128509355882115 + 128509355882116.

It is an arithmetic number, because the mean of its divisors is an integer number (128509355882116).

Almost surely, 2^{257018711764231} is an apocalyptic number.

257018711764231 is a deficient number, since it is larger than the sum of its proper divisors (1).

257018711764231 is an equidigital number, since it uses as much as digits as its factorization.

257018711764231 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3951360, while the sum is 55.

The spelling of 257018711764231 in words is "two hundred fifty-seven trillion, eighteen billion, seven hundred eleven million, seven hundred sixty-four thousand, two hundred thirty-one".