1313762638257 has 16 divisors (see below), whose sum is σ = 1993786119360. Its totient is φ = 854479764000.

The previous prime is 1313762638241. The next prime is 1313762638303. The reversal of 1313762638257 is 7528362673131.

1313762638257 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 7 + 626 + 3 + 8 + 2 + 5 + 7 = 666.

It is not a de Polignac number, because 1313762638257 - 2⁴ = 1313762638241 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1313762638207) 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, 593387619 + ... + 593389832.

It is an arithmetic number, because the mean of its divisors is an integer number (124611632460).

Almost surely, 2^{1313762638257} is an apocalyptic number.

It is an amenable number.

1313762638257 is a deficient number, since it is larger than the sum of its proper divisors (680023481103).

1313762638257 is a wasteful number, since it uses less digits than its factorization.

1313762638257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1186777501 (or 1186777495 counting only the distinct ones).

The product of its digits is 7620480, while the sum is 54.

The spelling of 1313762638257 in words is "one trillion, three hundred thirteen billion, seven hundred sixty-two million, six hundred thirty-eight thousand, two hundred fifty-seven".