513664416 has 60 divisors (see below), whose sum is σ = 1510680402. Its totient is φ = 171220608.

The previous prime is 513664387. The next prime is 513664477. The reversal of 513664416 is 614466315.

It is a happy number.

513664416 is a `hidden beast` number, since 5 + 1 + 3 + 6 + 644 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 317552400 + 196112016 = 17820^2 + 14004^2 .

It is a super-2 number, since 2×513664416² = 527702264529242112, which contains 22 as substring.

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 9 ways as a sum of consecutive naturals, for example, 96495 + ... + 101678.

Almost surely, 2^513664416 is an apocalyptic number.

It is an amenable number.

513664416 is an abundant number, since it is smaller than the sum of its proper divisors (997015986).

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

513664416 is a wasteful number, since it uses less digits than its factorization.

513664416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198195 (or 198178 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 513664416 is about 22664.1659012636. The cubic root of 513664416 is about 800.8659456678.

The spelling of 513664416 in words is "five hundred thirteen million, six hundred sixty-four thousand, four hundred sixteen".