513290640576 has 112 divisors (see below), whose sum is σ = 1558588216320. Its totient is φ = 146040760320.

The previous prime is 513290640557. The next prime is 513290640589. The reversal of 513290640576 is 675046092315.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×513290640576² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 477765 + ... + 1120196.

Almost surely, 2^513290640576 is an apocalyptic number.

513290640576 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

513290640576 is an abundant number, since it is smaller than the sum of its proper divisors (1045297575744).

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

513290640576 is a wasteful number, since it uses less digits than its factorization.

513290640576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1598222 (or 1598212 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 48.

The spelling of 513290640576 in words is "five hundred thirteen billion, two hundred ninety million, six hundred forty thousand, five hundred seventy-six".