513578880 has 160 divisors (see below), whose sum is σ = 1834268040. Its totient is φ = 136940544.

The previous prime is 513578867. The next prime is 513578903. The reversal of 513578880 is 88875315.

It is a happy number.

513578880 is a `hidden beast` number, since 513 + 57 + 8 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 46887 + ... + 56793.

Almost surely, 2^513578880 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 513578880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (917134020).

513578880 is an abundant number, since it is smaller than the sum of its proper divisors (1320689160).

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

513578880 is an equidigital number, since it uses as much as digits as its factorization.

513578880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9938 (or 9917 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The square root of 513578880 is about 22662.2787909778. The cubic root of 513578880 is about 800.8214894884.

The spelling of 513578880 in words is "five hundred thirteen million, five hundred seventy-eight thousand, eight hundred eighty".