413012331 has 64 divisors (see below), whose sum is σ = 669772800. Its totient is φ = 250560000.

The previous prime is 413012309. The next prime is 413012333. The reversal of 413012331 is 133210314.

It is not a de Polignac number, because 413012331 - 2⁶ = 413012267 is a prime.

It is a super-2 number, since 2×413012331² = 341158371116107122, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (413012333) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2735106 + ... + 2735256.

It is an arithmetic number, because the mean of its divisors is an integer number (10465200).

Almost surely, 2^413012331 is an apocalyptic number.

413012331 is a deficient number, since it is larger than the sum of its proper divisors (256760469).

413012331 is a wasteful number, since it uses less digits than its factorization.

413012331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 413012331 is about 20322.7048150585. The cubic root of 413012331 is about 744.7108353329.

Adding to 413012331 its reverse (133210314), we get a palindrome (546222645).

It can be divided in two parts, 4130 and 12331, that added together give a palindrome (16461).

The spelling of 413012331 in words is "four hundred thirteen million, twelve thousand, three hundred thirty-one".