413002031 has 12 divisors (see below), whose sum is σ = 470756520. Its totient is φ = 361164960.

The previous prime is 413002001. The next prime is 413002033. The reversal of 413002031 is 130200314.

It is not a de Polignac number, because 413002031 - 2¹⁰ = 413001007 is a prime.

It is a super-2 number, since 2×413002031² = 341141355220249922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 413001997 and 413002015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413002033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61100 + ... + 67521.

It is an arithmetic number, because the mean of its divisors is an integer number (39229710).

Almost surely, 2^413002031 is an apocalyptic number.

413002031 is a deficient number, since it is larger than the sum of its proper divisors (57754489).

413002031 is a wasteful number, since it uses less digits than its factorization.

413002031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128666 (or 128653 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 413002031 is about 20322.4514023284. The cubic root of 413002031 is about 744.7046445691.

Adding to 413002031 its reverse (130200314), we get a palindrome (543202345).

The spelling of 413002031 in words is "four hundred thirteen million, two thousand, thirty-one".