513646080 has 160 divisors (see below), whose sum is σ = 1678178304. Its totient is φ = 133963776.

The previous prime is 513646069. The next prime is 513646087. The reversal of 513646080 is 80646315.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513646087) 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, 360249 + ... + 361671.

Almost surely, 2^513646080 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 513646080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (839089152).

513646080 is an abundant number, since it is smaller than the sum of its proper divisors (1164532224).

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

513646080 is a wasteful number, since it uses less digits than its factorization.

513646080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1496 (or 1480 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 513646080 is about 22663.7613824361. The cubic root of 513646080 is about 800.8564161953.

The spelling of 513646080 in words is "five hundred thirteen million, six hundred forty-six thousand, eighty".