513164032 has 72 divisors (see below), whose sum is σ = 1050779520. Its totient is φ = 250060800.

The previous prime is 513164011. The next prime is 513164053. The reversal of 513164032 is 230461315.

It is an interprime number because it is at equal distance from previous prime (513164011) and next prime (513164053).

It is a junction number, because it is equal to n+sod(n) for n = 513163988 and 513164006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2301073 + ... + 2301295.

It is an arithmetic number, because the mean of its divisors is an integer number (14594160).

Almost surely, 2^513164032 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 513164032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525389760).

513164032 is an abundant number, since it is smaller than the sum of its proper divisors (537615488).

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

513164032 is a wasteful number, since it uses less digits than its factorization.

513164032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 513164032 is about 22653.1241112567. The cubic root of 513164032 is about 800.6058077970.

The spelling of 513164032 in words is "five hundred thirteen million, one hundred sixty-four thousand, thirty-two".