513161520 has 80 divisors (see below), whose sum is σ = 1597918560. Its totient is φ = 136230912.

The previous prime is 513161483. The next prime is 513161543. The reversal of 513161520 is 25161315.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 50292 + ... + 59628.

It is an arithmetic number, because the mean of its divisors is an integer number (19973982).

Almost surely, 2^513161520 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 513161520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798959280).

513161520 is an abundant number, since it is smaller than the sum of its proper divisors (1084757040).

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

513161520 is a wasteful number, since it uses less digits than its factorization.

513161520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9582 (or 9576 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 513161520 is about 22653.0686662977. The cubic root of 513161520 is about 800.6045014408.

The spelling of 513161520 in words is "five hundred thirteen million, one hundred sixty-one thousand, five hundred twenty".