507131613 has 48 divisors (see below), whose sum is σ = 786043440. Its totient is φ = 314496000.

The previous prime is 507131593. The next prime is 507131687. The reversal of 507131613 is 316131705.

It can be written as a sum of positive squares in 8 ways, for example, as 71289 + 507060324 = 267^2 + 22518^2 .

It is not a de Polignac number, because 507131613 - 2⁸ = 507131357 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (507131693) 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, 843513 + ... + 844113.

It is an arithmetic number, because the mean of its divisors is an integer number (16375905).

Almost surely, 2^507131613 is an apocalyptic number.

507131613 is a gapful number since it is divisible by the number (53) formed by its first and last digit.

It is an amenable number.

507131613 is a deficient number, since it is larger than the sum of its proper divisors (278911827).

507131613 is a wasteful number, since it uses less digits than its factorization.

507131613 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 507131613 is about 22519.5828780197. The cubic root of 507131613 is about 797.4563023459.

It can be divided in two parts, 50713 and 1613, that added together give a triangular number (52326 = T₃₂₃).

The spelling of 507131613 in words is "five hundred seven million, one hundred thirty-one thousand, six hundred thirteen".