513513131 has 4 divisors (see below), whose sum is σ = 523202112. Its totient is φ = 503824152.

The previous prime is 513513113. The next prime is 513513137. The reversal of 513513131 is 131315315.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 513513131 - 2²⁶ = 446404267 is a prime.

It is a super-2 number, since 2×513513131² = 527391471418846322, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 513513097 and 513513106.

It is not an unprimeable number, because it can be changed into a prime (513513137) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4844411 + ... + 4844516.

It is an arithmetic number, because the mean of its divisors is an integer number (130800528).

Almost surely, 2^513513131 is an apocalyptic number.

513513131 is a deficient number, since it is larger than the sum of its proper divisors (9688981).

513513131 is an equidigital number, since it uses as much as digits as its factorization.

513513131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9688980.

The product of its digits is 675, while the sum is 23.

The square root of 513513131 is about 22660.8281181425. The cubic root of 513513131 is about 800.7873139792.

Adding to 513513131 its reverse (131315315), we get a palindrome (644828446).

The spelling of 513513131 in words is "five hundred thirteen million, five hundred thirteen thousand, one hundred thirty-one".