509662413 has 48 divisors (see below), whose sum is σ = 828731904. Its totient is φ = 299687040.

The previous prime is 509662409. The next prime is 509662423. The reversal of 509662413 is 314266905.

It is a happy number.

It is not a de Polignac number, because 509662413 - 2² = 509662409 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509662423) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 300195 + ... + 301887.

It is an arithmetic number, because the mean of its divisors is an integer number (17265248).

Almost surely, 2^509662413 is an apocalyptic number.

It is an amenable number.

509662413 is a deficient number, since it is larger than the sum of its proper divisors (319069491).

509662413 is a wasteful number, since it uses less digits than its factorization.

509662413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1826 (or 1823 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 509662413 is about 22575.7040421777. The cubic root of 509662413 is about 798.7806491946.

The spelling of 509662413 in words is "five hundred nine million, six hundred sixty-two thousand, four hundred thirteen".