513525120 has 128 divisors (see below), whose sum is σ = 1733257440. Its totient is φ = 128876544.

The previous prime is 513525119. The next prime is 513525169. The reversal of 513525120 is 21525315.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

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

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, 24774 + ... + 40506.

Almost surely, 2^513525120 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 513525120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (866628720).

513525120 is an abundant number, since it is smaller than the sum of its proper divisors (1219732320).

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

513525120 is a wasteful number, since it uses less digits than its factorization.

513525120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15772 (or 15760 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 24.

The square root of 513525120 is about 22661.0926479726. The cubic root of 513525120 is about 800.7935459291.

The spelling of 513525120 in words is "five hundred thirteen million, five hundred twenty-five thousand, one hundred twenty".