513745920 has 132 divisors (see below), whose sum is σ = 1780275900. Its totient is φ = 136986624.

The previous prime is 513745913. The next prime is 513745951. The reversal of 513745920 is 29547315.

513745920 is a `hidden beast` number, since 513 + 74 + 59 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 170459136 + 343286784 = 13056^2 + 18528^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40506 + ... + 51654.

Almost surely, 2^513745920 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 513745920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (890137950).

513745920 is an abundant number, since it is smaller than the sum of its proper divisors (1266529980).

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

513745920 is a wasteful number, since it uses less digits than its factorization.

513745920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11180 (or 11159 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 513745920 is about 22665.9639106745. The cubic root of 513745920 is about 800.9083016781.

The spelling of 513745920 in words is "five hundred thirteen million, seven hundred forty-five thousand, nine hundred twenty".