513310215 has 32 divisors (see below), whose sum is σ = 902016000. Its totient is φ = 247195520.

The previous prime is 513310199. The next prime is 513310219. The reversal of 513310215 is 512013315.

It is not a de Polignac number, because 513310215 - 2⁴ = 513310199 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 513310191 and 513310200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513310219) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14146 + ... + 35024.

It is an arithmetic number, because the mean of its divisors is an integer number (28188000).

Almost surely, 2^513310215 is an apocalyptic number.

513310215 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

513310215 is a deficient number, since it is larger than the sum of its proper divisors (388705785).

513310215 is a wasteful number, since it uses less digits than its factorization.

513310215 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21047.

The product of its (nonzero) digits is 450, while the sum is 21.

The square root of 513310215 is about 22656.3504342601. The cubic root of 513310215 is about 800.6818223786.

It can be divided in two parts, 5 and 13310215, that added together give a triangular number (13310220 = T₅₁₅₉).

The spelling of 513310215 in words is "five hundred thirteen million, three hundred ten thousand, two hundred fifteen".