513361520 has 80 divisors (see below), whose sum is σ = 1395863040. Its totient is φ = 171908352.

The previous prime is 513361501. The next prime is 513361531. The reversal of 513361520 is 25163315.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 513361520.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13421 + ... + 34739.

It is an arithmetic number, because the mean of its divisors is an integer number (17448288).

Almost surely, 2^513361520 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 513361520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697931520).

513361520 is an abundant number, since it is smaller than the sum of its proper divisors (882501520).

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

513361520 is a wasteful number, since it uses less digits than its factorization.

513361520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21382 (or 21376 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 26.

The square root of 513361520 is about 22657.4826492265. The cubic root of 513361520 is about 800.7084973541.

The spelling of 513361520 in words is "five hundred thirteen million, three hundred sixty-one thousand, five hundred twenty".