513390585 has 16 divisors (see below), whose sum is σ = 831824640. Its totient is φ = 270341760.

The previous prime is 513390547. The next prime is 513390589. The reversal of 513390585 is 585093315.

It is a happy number.

It is not a de Polignac number, because 513390585 - 2¹⁴ = 513374201 is a prime.

It is not an unprimeable number, because it can be changed into a prime (513390589) 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, 215436 + ... + 217805.

It is an arithmetic number, because the mean of its divisors is an integer number (51989040).

Almost surely, 2^513390585 is an apocalyptic number.

It is an amenable number.

513390585 is a deficient number, since it is larger than the sum of its proper divisors (318434055).

513390585 is a wasteful number, since it uses less digits than its factorization.

513390585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433328.

The product of its (nonzero) digits is 81000, while the sum is 39.

The square root of 513390585 is about 22658.1240397346. The cubic root of 513390585 is about 800.7236083123.

The spelling of 513390585 in words is "five hundred thirteen million, three hundred ninety thousand, five hundred eighty-five".