257413618013 has 4 divisors (see below), whose sum is σ = 258439170528. Its totient is φ = 256388065500.

The previous prime is 257413617971. The next prime is 257413618037. The reversal of 257413618013 is 310816314752.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 257413618013 - 2⁶ = 257413617949 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257413618043) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 512775881 + ... + 512776382.

It is an arithmetic number, because the mean of its divisors is an integer number (64609792632).

Almost surely, 2^257413618013 is an apocalyptic number.

It is an amenable number.

257413618013 is a deficient number, since it is larger than the sum of its proper divisors (1025552515).

257413618013 is a wasteful number, since it uses less digits than its factorization.

257413618013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1025552514.

The product of its (nonzero) digits is 120960, while the sum is 41.

The spelling of 257413618013 in words is "two hundred fifty-seven billion, four hundred thirteen million, six hundred eighteen thousand, thirteen".