1338607507257 has 6 divisors (see below), whose sum is σ = 1933544177162. Its totient is φ = 892405004832.

The previous prime is 1338607507253. The next prime is 1338607507291. The reversal of 1338607507257 is 7527057068331.

It is a happy number.

1338607507257 is a `hidden beast` number, since 1 + 3 + 3 + 8 + 607 + 5 + 0 + 7 + 25 + 7 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1293260230656 + 45347276601 = 1137216^2 + 212949^2 .

It is not a de Polignac number, because 1338607507257 - 2² = 1338607507253 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1338607507253) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 74367083728 + ... + 74367083745.

Almost surely, 2^{1338607507257} is an apocalyptic number.

It is an amenable number.

1338607507257 is a deficient number, since it is larger than the sum of its proper divisors (594936669905).

1338607507257 is a wasteful number, since it uses less digits than its factorization.

1338607507257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148734167479 (or 148734167476 counting only the distinct ones).

The product of its (nonzero) digits is 7408800, while the sum is 54.

The spelling of 1338607507257 in words is "one trillion, three hundred thirty-eight billion, six hundred seven million, five hundred seven thousand, two hundred fifty-seven".