413253461313 has 24 divisors (see below), whose sum is σ = 744214026816. Its totient is φ = 214677122400.

The previous prime is 413253461177. The next prime is 413253461317. The reversal of 413253461313 is 313164352314.

413253461313 is a `hidden beast` number, since 4 + 1 + 3 + 2 + 5 + 34 + 613 + 1 + 3 = 666.

It is not a de Polignac number, because 413253461313 - 2¹⁰ = 413253460289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (413253461317) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 298161978 + ... + 298163363.

It is an arithmetic number, because the mean of its divisors is an integer number (31008917784).

Almost surely, 2^413253461313 is an apocalyptic number.

It is an amenable number.

413253461313 is a deficient number, since it is larger than the sum of its proper divisors (330960565503).

413253461313 is a wasteful number, since it uses less digits than its factorization.

413253461313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596325365 (or 596325362 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

The spelling of 413253461313 in words is "four hundred thirteen billion, two hundred fifty-three million, four hundred sixty-one thousand, three hundred thirteen".