257207402133 has 64 divisors (see below), whose sum is σ = 430842297600. Its totient is φ = 150278042880.

The previous prime is 257207402057. The next prime is 257207402149. The reversal of 257207402133 is 331204702752.

257207402133 is a `hidden beast` number, since 2 + 572 + 0 + 74 + 0 + 2 + 13 + 3 = 666.

It is not a de Polignac number, because 257207402133 - 2⁹ = 257207401621 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257207402033) 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, 1090435 + ... + 1305167.

It is an arithmetic number, because the mean of its divisors is an integer number (6731910900).

Almost surely, 2^257207402133 is an apocalyptic number.

It is an amenable number.

257207402133 is a deficient number, since it is larger than the sum of its proper divisors (173634895467).

257207402133 is a wasteful number, since it uses less digits than its factorization.

257207402133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214899 (or 214893 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The spelling of 257207402133 in words is "two hundred fifty-seven billion, two hundred seven million, four hundred two thousand, one hundred thirty-three".