513166080 has 288 divisors, whose sum is σ = 1985001984. Its totient is φ = 110297088.

The previous prime is 513166057. The next prime is 513166123. The reversal of 513166080 is 80661315.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 456399 + ... + 457521.

It is an arithmetic number, because the mean of its divisors is an integer number (6892368).

Almost surely, 2^513166080 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 513166080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (992500992).

513166080 is an abundant number, since it is smaller than the sum of its proper divisors (1471835904).

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

513166080 is a wasteful number, since it uses less digits than its factorization.

513166080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1171 (or 1157 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 513166080 is about 22653.1693146897. The cubic root of 513166080 is about 800.6068728486.

The spelling of 513166080 in words is "five hundred thirteen million, one hundred sixty-six thousand, eighty".