257158562090211 has 48 divisors (see below), whose sum is σ = 387518423818240. Its totient is φ = 164144272409280.

The previous prime is 257158562090167. The next prime is 257158562090233. The reversal of 257158562090211 is 112090265851752.

It is a happy number.

257158562090211 is a `hidden beast` number, since 2 + 5 + 7 + 1 + 5 + 8 + 5 + 620 + 9 + 0 + 2 + 1 + 1 = 666.

It is not a de Polignac number, because 257158562090211 - 2¹⁵ = 257158562057443 is a prime.

It is a super-2 number, since 2×257158562090211² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (257158512090211) 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, 26534310 + ... + 34905396.

Almost surely, 2^{257158562090211} is an apocalyptic number.

257158562090211 is a deficient number, since it is larger than the sum of its proper divisors (130359861728029).

257158562090211 is a wasteful number, since it uses less digits than its factorization.

257158562090211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8372296 (or 8372293 counting only the distinct ones).

The product of its (nonzero) digits is 3024000, while the sum is 54.

The spelling of 257158562090211 in words is "two hundred fifty-seven trillion, one hundred fifty-eight billion, five hundred sixty-two million, ninety thousand, two hundred eleven".