413663013 has 6 divisors (see below), whose sum is σ = 597513254. Its totient is φ = 275775336.

The previous prime is 413662979. The next prime is 413663017. The reversal of 413663013 is 310366314.

413663013 is a `hidden beast` number, since 4 + 13 + 6 + 630 + 13 = 666.

It can be written as a sum of positive squares in only one way, i.e., 358799364 + 54863649 = 18942^2 + 7407^2 .

It is not a de Polignac number, because 413663013 - 2²⁸ = 145227557 is a prime.

It is a super-2 number, since 2×413663013² = 342234176648476338, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413663017) 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, 22981270 + ... + 22981287.

Almost surely, 2^413663013 is an apocalyptic number.

It is an amenable number.

413663013 is a deficient number, since it is larger than the sum of its proper divisors (183850241).

413663013 is a wasteful number, since it uses less digits than its factorization.

413663013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45962563 (or 45962560 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 413663013 is about 20338.7072598039. The cubic root of 413663013 is about 745.1017160640.

The spelling of 413663013 in words is "four hundred thirteen million, six hundred sixty-three thousand, thirteen".