513285267 has 24 divisors (see below), whose sum is σ = 796512528. Its totient is φ = 292779520.

The previous prime is 513285217. The next prime is 513285299. The reversal of 513285267 is 762582315.

It is not a de Polignac number, because 513285267 - 2²⁷ = 379067539 is a prime.

It is a super-2 number, since 2×513285267² = 526923530638522578, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (513285217) 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, 35418 + ... + 47759.

It is an arithmetic number, because the mean of its divisors is an integer number (33188022).

Almost surely, 2^513285267 is an apocalyptic number.

513285267 is a deficient number, since it is larger than the sum of its proper divisors (283227261).

513285267 is a wasteful number, since it uses less digits than its factorization.

513285267 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83219 (or 83208 counting only the distinct ones).

The product of its digits is 100800, while the sum is 39.

The square root of 513285267 is about 22655.7998534592. The cubic root of 513285267 is about 800.6688505387.

The spelling of 513285267 in words is "five hundred thirteen million, two hundred eighty-five thousand, two hundred sixty-seven".