513417516 has 48 divisors (see below), whose sum is σ = 1224195840. Its totient is φ = 167428800.

The previous prime is 513417511. The next prime is 513417521. The reversal of 513417516 is 615714315.

It is an interprime number because it is at equal distance from previous prime (513417511) and next prime (513417521).

It is a super-2 number, since 2×513417516² = 527195091471220512, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (513417511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119290 + ... + 123518.

It is an arithmetic number, because the mean of its divisors is an integer number (25504080).

Almost surely, 2^513417516 is an apocalyptic number.

It is an amenable number.

513417516 is an abundant number, since it is smaller than the sum of its proper divisors (710778324).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

513417516 is a wasteful number, since it uses less digits than its factorization.

513417516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4454 (or 4452 counting only the distinct ones).

The product of its digits is 12600, while the sum is 33.

The square root of 513417516 is about 22658.7183220940. The cubic root of 513417516 is about 800.7376092900.

The spelling of 513417516 in words is "five hundred thirteen million, four hundred seventeen thousand, five hundred sixteen".