510204312013 has 16 divisors (see below), whose sum is σ = 586137277440. Its totient is φ = 439217866800.

The previous prime is 510204311989. The next prime is 510204312043. The reversal of 510204312013 is 310213402015.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 510204312013 - 2³⁷ = 372765358541 is a prime.

It is a super-2 number, since 2×510204312013² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (510204312043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55723 + ... + 1011688.

It is an arithmetic number, because the mean of its divisors is an integer number (36633579840).

Almost surely, 2^510204312013 is an apocalyptic number.

It is an amenable number.

510204312013 is a deficient number, since it is larger than the sum of its proper divisors (75932965427).

510204312013 is a wasteful number, since it uses less digits than its factorization.

510204312013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1069728.

The product of its (nonzero) digits is 720, while the sum is 22.

Adding to 510204312013 its reverse (310213402015), we get a palindrome (820417714028).

The spelling of 510204312013 in words is "five hundred ten billion, two hundred four million, three hundred twelve thousand, thirteen".