513131313204 has 30 divisors (see below), whose sum is σ = 1341426612834. Its totient is φ = 171043770960.

The previous prime is 513131313193. The next prime is 513131313229. The reversal of 513131313204 is 402313131315.

513131313204 is a `hidden beast` number, since 5 + 13 + 131 + 313 + 204 = 666.

It can be written as a sum of positive squares in only one way, i.e., 507724652304 + 5406660900 = 712548^2 + 73530^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 791868987 + ... + 791869634.

Almost surely, 2^513131313204 is an apocalyptic number.

513131313204 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

513131313204 is an abundant number, since it is smaller than the sum of its proper divisors (828295299630).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

513131313204 is a wasteful number, since it uses less digits than its factorization.

513131313204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1583738637 (or 1583738626 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 513131313204 its reverse (402313131315), we get a palindrome (915444444519).

The spelling of 513131313204 in words is "five hundred thirteen billion, one hundred thirty-one million, three hundred thirteen thousand, two hundred four".