513407220 has 48 divisors (see below), whose sum is σ = 1438644480. Its totient is φ = 136803456.

The previous prime is 513407183. The next prime is 513407221. The reversal of 513407220 is 22704315.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513407221) 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, 104949 + ... + 109731.

It is an arithmetic number, because the mean of its divisors is an integer number (29971760).

Almost surely, 2^513407220 is an apocalyptic number.

It is an amenable number.

513407220 is an abundant number, since it is smaller than the sum of its proper divisors (925237260).

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

513407220 is a wasteful number, since it uses less digits than its factorization.

513407220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6584 (or 6582 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 513407220 is about 22658.4911236384. The cubic root of 513407220 is about 800.7322566291.

The spelling of 513407220 in words is "five hundred thirteen million, four hundred seven thousand, two hundred twenty".