257047413257133 has 16 divisors (see below), whose sum is σ = 403211628639360. Its totient is φ = 161284651455168.

The previous prime is 257047413257111. The next prime is 257047413257137. The reversal of 257047413257133 is 331752314740752.

257047413257133 is a `hidden beast` number, since 2 + 5 + 7 + 0 + 4 + 7 + 4 + 1 + 32 + 571 + 33 = 666.

It is not a de Polignac number, because 257047413257133 - 2⁶ = 257047413257069 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 257047413257133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257047413257137) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 280008074985 + ... + 280008075902.

It is an arithmetic number, because the mean of its divisors is an integer number (25200726789960).

Almost surely, 2^{257047413257133} is an apocalyptic number.

It is an amenable number.

257047413257133 is a deficient number, since it is larger than the sum of its proper divisors (146164215382227).

257047413257133 is a wasteful number, since it uses less digits than its factorization.

257047413257133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560016150913 (or 560016150907 counting only the distinct ones).

The product of its (nonzero) digits is 14817600, while the sum is 54.

Adding to 257047413257133 its reverse (331752314740752), we get a palindrome (588799727997885).

The spelling of 257047413257133 in words is "two hundred fifty-seven trillion, forty-seven billion, four hundred thirteen million, two hundred fifty-seven thousand, one hundred thirty-three".