413061131 has 12 divisors (see below), whose sum is σ = 480968280. Its totient is φ = 353707200.

The previous prime is 413061113. The next prime is 413061149. The reversal of 413061131 is 131160314.

It is an interprime number because it is at equal distance from previous prime (413061113) and next prime (413061149).

It is not a de Polignac number, because 413061131 - 2²² = 408866827 is a prime.

It is a super-2 number, since 2×413061131² = 341238995885998322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (413061161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55340 + ... + 62358.

It is an arithmetic number, because the mean of its divisors is an integer number (40080690).

Almost surely, 2^413061131 is an apocalyptic number.

413061131 is a deficient number, since it is larger than the sum of its proper divisors (67907149).

413061131 is a wasteful number, since it uses less digits than its factorization.

413061131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8234 (or 8227 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 413061131 is about 20323.9054071800. The cubic root of 413061131 is about 744.7401649314.

The spelling of 413061131 in words is "four hundred thirteen million, sixty-one thousand, one hundred thirty-one".