513560880 has 480 divisors, whose sum is σ = 2154147840. Its totient is φ = 106997760.

The previous prime is 513560863. The next prime is 513560897. The reversal of 513560880 is 88065315.

513560880 is a `hidden beast` number, since 5 + 13 + 560 + 8 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (513560863) and next prime (513560897).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 95 ways as a sum of consecutive naturals, for example, 2968474 + ... + 2968646.

It is an arithmetic number, because the mean of its divisors is an integer number (4487808).

Almost surely, 2^513560880 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 513560880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1077073920).

513560880 is an abundant number, since it is smaller than the sum of its proper divisors (1640586960).

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

513560880 is a wasteful number, since it uses less digits than its factorization.

513560880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 513560880 is about 22661.8816517958. The cubic root of 513560880 is about 800.8121336031.

The spelling of 513560880 in words is "five hundred thirteen million, five hundred sixty thousand, eight hundred eighty".