3413713407257 has 16 divisors (see below), whose sum is σ = 3432462068112. Its totient is φ = 3395031045120.

The previous prime is 3413713407239. The next prime is 3413713407271. The reversal of 3413713407257 is 7527043173143.

It can be written as a sum of positive squares in 8 ways, for example, as 658193086681 + 2755520320576 = 811291^2 + 1659976^2 .

It is a cyclic number.

It is not a de Polignac number, because 3413713407257 - 2²⁶ = 3413646298393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3413713407217) 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, 197395703 + ... + 197412995.

It is an arithmetic number, because the mean of its divisors is an integer number (214528879257).

Almost surely, 2^{3413713407257} is an apocalyptic number.

It is an amenable number.

3413713407257 is a deficient number, since it is larger than the sum of its proper divisors (18748660855).

3413713407257 is a wasteful number, since it uses less digits than its factorization.

3413713407257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19148.

The product of its (nonzero) digits is 1481760, while the sum is 47.

The spelling of 3413713407257 in words is "three trillion, four hundred thirteen billion, seven hundred thirteen million, four hundred seven thousand, two hundred fifty-seven".