513605331 has 12 divisors (see below), whose sum is σ = 757659552. Its totient is φ = 335118096.

The previous prime is 513605329. The next prime is 513605333. The reversal of 513605331 is 133506315.

513605331 is a `hidden beast` number, since 51 + 3 + 605 + 3 + 3 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (513605329) and next prime (513605333).

It is not a de Polignac number, because 513605331 - 2¹ = 513605329 is a prime.

It is a super-2 number, since 2×513605331² = 527580872063239122, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 513605295 and 513605304.

It is not an unprimeable number, because it can be changed into a prime (513605333) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 606676 + ... + 607521.

It is an arithmetic number, because the mean of its divisors is an integer number (63138296).

Almost surely, 2^513605331 is an apocalyptic number.

513605331 is a deficient number, since it is larger than the sum of its proper divisors (244054221).

513605331 is a wasteful number, since it uses less digits than its factorization.

513605331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1214250 (or 1214247 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 27.

The square root of 513605331 is about 22662.8623743780. The cubic root of 513605331 is about 800.8352375651.

The spelling of 513605331 in words is "five hundred thirteen million, six hundred five thousand, three hundred thirty-one".