513215217 has 16 divisors (see below), whose sum is σ = 773208000. Its totient is φ = 336343392.

The previous prime is 513215203. The next prime is 513215221. The reversal of 513215217 is 712512315.

513215217 is a `hidden beast` number, since 5 + 132 + 1 + 521 + 7 = 666.

It is not a de Polignac number, because 513215217 - 2²⁴ = 496438001 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (513215237) 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, 159492 + ... + 162677.

It is an arithmetic number, because the mean of its divisors is an integer number (48325500).

Almost surely, 2^513215217 is an apocalyptic number.

It is an amenable number.

513215217 is a deficient number, since it is larger than the sum of its proper divisors (259992783).

513215217 is a wasteful number, since it uses less digits than its factorization.

513215217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322237 (or 322231 counting only the distinct ones).

The product of its digits is 2100, while the sum is 27.

The square root of 513215217 is about 22654.2538389593. The cubic root of 513215217 is about 800.6324254367.

The spelling of 513215217 in words is "five hundred thirteen million, two hundred fifteen thousand, two hundred seventeen".