513044736 has 72 divisors (see below), whose sum is σ = 1372783104. Its totient is φ = 170096640.

The previous prime is 513044711. The next prime is 513044789. The reversal of 513044736 is 637440315.

It is a super-2 number, since 2×513044736² = 526429802274619392, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 513044697 and 513044706.

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, 149601 + ... + 152991.

It is an arithmetic number, because the mean of its divisors is an integer number (19066432).

Almost surely, 2^513044736 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 513044736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686391552).

513044736 is an abundant number, since it is smaller than the sum of its proper divisors (859738368).

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

513044736 is a wasteful number, since it uses less digits than its factorization.

513044736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3607 (or 3593 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 513044736 is about 22650.4908556084. The cubic root of 513044736 is about 800.5437636510.

The spelling of 513044736 in words is "five hundred thirteen million, forty-four thousand, seven hundred thirty-six".