513035131 has 16 divisors (see below), whose sum is σ = 617958400. Its totient is φ = 416078208.

The previous prime is 513035123. The next prime is 513035141. The reversal of 513035131 is 131530315.

It is not a de Polignac number, because 513035131 - 2³ = 513035123 is a prime.

It is a super-2 number, since 2×513035131² = 526410091280374322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (513035141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132286 + ... + 136108.

It is an arithmetic number, because the mean of its divisors is an integer number (38622400).

Almost surely, 2^513035131 is an apocalyptic number.

513035131 is a deficient number, since it is larger than the sum of its proper divisors (104923269).

513035131 is a wasteful number, since it uses less digits than its factorization.

513035131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4858.

The product of its (nonzero) digits is 675, while the sum is 22.

The square root of 513035131 is about 22650.2788283058. The cubic root of 513035131 is about 800.5387678093.

Adding to 513035131 its reverse (131530315), we get a palindrome (644565446).

The spelling of 513035131 in words is "five hundred thirteen million, thirty-five thousand, one hundred thirty-one".