513327232 has 64 divisors (see below), whose sum is σ = 1139495040. Its totient is φ = 228336640.

The previous prime is 513327209. The next prime is 513327251. The reversal of 513327232 is 232723315.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×513327232² = 527009694225563648, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 513327232.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62298 + ... + 70054.

It is an arithmetic number, because the mean of its divisors is an integer number (17804610).

Almost surely, 2^513327232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513327232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569747520).

513327232 is an abundant number, since it is smaller than the sum of its proper divisors (626167808).

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

513327232 is a wasteful number, since it uses less digits than its factorization.

513327232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7829 (or 7817 counting only the distinct ones).

The product of its digits is 7560, while the sum is 28.

The square root of 513327232 is about 22656.7259770691. The cubic root of 513327232 is about 800.6906702134.

It can be divided in two parts, 51332 and 7232, that added together give a square (58564 = 242²).

The spelling of 513327232 in words is "five hundred thirteen million, three hundred twenty-seven thousand, two hundred thirty-two".