513265536 has 96 divisors (see below), whose sum is σ = 1687998000. Its totient is φ = 146644992.

The previous prime is 513265523. The next prime is 513265541. The reversal of 513265536 is 635562315.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 513265536.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23761 + ... + 39888.

Almost surely, 2^513265536 is an apocalyptic number.

513265536 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

513265536 is an abundant number, since it is smaller than the sum of its proper divisors (1174732464).

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

513265536 is a wasteful number, since it uses less digits than its factorization.

513265536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63676 (or 63661 counting only the distinct ones).

The product of its digits is 81000, while the sum is 36.

The square root of 513265536 is about 22655.3643978639. The cubic root of 513265536 is about 800.6585910069.

The spelling of 513265536 in words is "five hundred thirteen million, two hundred sixty-five thousand, five hundred thirty-six".