513552720 has 80 divisors (see below), whose sum is σ = 1603736640. Its totient is φ = 135939072.

The previous prime is 513552709. The next prime is 513552751. The reversal of 513552720 is 27255315.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25071 + ... + 40689.

It is an arithmetic number, because the mean of its divisors is an integer number (20046708).

Almost surely, 2^513552720 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 513552720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (801868320).

513552720 is an abundant number, since it is smaller than the sum of its proper divisors (1090183920).

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

513552720 is a wasteful number, since it uses less digits than its factorization.

513552720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15772 (or 15766 counting only the distinct ones).

The product of its (nonzero) digits is 10500, while the sum is 30.

The square root of 513552720 is about 22661.7016130740. The cubic root of 513552720 is about 800.8078921964.

The spelling of 513552720 in words is "five hundred thirteen million, five hundred fifty-two thousand, seven hundred twenty".