513576960 has 208 divisors, whose sum is σ = 1772401344. Its totient is φ = 126222336.

The previous prime is 513576949. The next prime is 513576967. The reversal of 513576960 is 69675315.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (208).

It is a super-2 number, since 2×513576960² = 527522587685683200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (513576967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 798399 + ... + 799041.

Almost surely, 2^513576960 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 513576960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (886200672).

513576960 is an abundant number, since it is smaller than the sum of its proper divisors (1258824384).

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

513576960 is a wasteful number, since it uses less digits than its factorization.

513576960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 170100, while the sum is 42.

The square root of 513576960 is about 22662.2364297966. The cubic root of 513576960 is about 800.8204915377.

The spelling of 513576960 in words is "five hundred thirteen million, five hundred seventy-six thousand, nine hundred sixty".