513513510345 has 24 divisors (see below), whose sum is σ = 971007365952. Its totient is φ = 248976247200.

The previous prime is 513513510319. The next prime is 513513510379. The reversal of 513513510345 is 543015315315.

513513510345 is a `hidden beast` number, since 5 + 135 + 1 + 3 + 510 + 3 + 4 + 5 = 666.

It is not a de Polignac number, because 513513510345 - 2¹⁵ = 513513477577 is a prime.

It is a super-2 number, since 2×513513510345² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 518700021 + ... + 518701010.

It is an arithmetic number, because the mean of its divisors is an integer number (40458640248).

Almost surely, 2^513513510345 is an apocalyptic number.

513513510345 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

513513510345 is a deficient number, since it is larger than the sum of its proper divisors (457493855607).

513513510345 is a wasteful number, since it uses less digits than its factorization.

513513510345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1037401053 (or 1037401050 counting only the distinct ones).

The product of its (nonzero) digits is 67500, while the sum is 36.

The spelling of 513513510345 in words is "five hundred thirteen billion, five hundred thirteen million, five hundred ten thousand, three hundred forty-five".