513608409 has 24 divisors (see below), whose sum is σ = 752094720. Its totient is φ = 337710912.

The previous prime is 513608401. The next prime is 513608413. The reversal of 513608409 is 904806315.

513608409 is a `hidden beast` number, since 5 + 1 + 3 + 608 + 40 + 9 = 666.

It is not a de Polignac number, because 513608409 - 2³ = 513608401 is a prime.

It is a super-2 number, since 2×513608409² = 527587195591022562, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (513608401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 594712 + ... + 595574.

It is an arithmetic number, because the mean of its divisors is an integer number (31337280).

Almost surely, 2^513608409 is an apocalyptic number.

It is an amenable number.

513608409 is a deficient number, since it is larger than the sum of its proper divisors (238486311).

513608409 is a wasteful number, since it uses less digits than its factorization.

513608409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1701 (or 1698 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 513608409 is about 22662.9302827326. The cubic root of 513608409 is about 800.8368373447.

The spelling of 513608409 in words is "five hundred thirteen million, six hundred eight thousand, four hundred nine".