405013131 has 24 divisors (see below), whose sum is σ = 596190816. Its totient is φ = 264902400.

The previous prime is 405013079. The next prime is 405013163. The reversal of 405013131 is 131310504.

It is not a de Polignac number, because 405013131 - 2⁶ = 405013067 is a prime.

It is a super-2 number, since 2×405013131² = 328071272564846322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (405013031) 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, 100746 + ... + 104688.

It is an arithmetic number, because the mean of its divisors is an integer number (24841284).

Almost surely, 2^405013131 is an apocalyptic number.

405013131 is a deficient number, since it is larger than the sum of its proper divisors (191177685).

405013131 is a wasteful number, since it uses less digits than its factorization.

405013131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4163 (or 4160 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 405013131 is about 20124.9380371717. The cubic root of 405013131 is about 739.8716182203.

Adding to 405013131 its reverse (131310504), we get a palindrome (536323635).

The spelling of 405013131 in words is "four hundred five million, thirteen thousand, one hundred thirty-one".