513051315 has 48 divisors (see below), whose sum is σ = 971170560. Its totient is φ = 230543040.

The previous prime is 513051311. The next prime is 513051377. The reversal of 513051315 is 513150315.

It is not a de Polignac number, because 513051315 - 2² = 513051311 is a prime.

It is not an unprimeable number, because it can be changed into a prime (513051311) 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, 37450 + ... + 49280.

It is an arithmetic number, because the mean of its divisors is an integer number (20232720).

Almost surely, 2^513051315 is an apocalyptic number.

513051315 is a deficient number, since it is larger than the sum of its proper divisors (458119245).

513051315 is a wasteful number, since it uses less digits than its factorization.

513051315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11912 (or 11905 counting only the distinct ones).

The product of its (nonzero) digits is 1125, while the sum is 24.

The square root of 513051315 is about 22650.6360837836. The cubic root of 513051315 is about 800.5471855455.

The spelling of 513051315 in words is "five hundred thirteen million, fifty-one thousand, three hundred fifteen".