513037509 has 32 divisors (see below), whose sum is σ = 750695040. Its totient is φ = 310382592.

The previous prime is 513037489. The next prime is 513037531. The reversal of 513037509 is 905730315.

It is not a de Polignac number, because 513037509 - 2⁸ = 513037253 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 513037509.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513037549) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 157869 + ... + 161085.

It is an arithmetic number, because the mean of its divisors is an integer number (23459220).

Almost surely, 2^513037509 is an apocalyptic number.

513037509 is a gapful number since it is divisible by the number (59) formed by its first and last digit.

It is an amenable number.

513037509 is a deficient number, since it is larger than the sum of its proper divisors (237657531).

513037509 is a wasteful number, since it uses less digits than its factorization.

513037509 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3349.

The product of its (nonzero) digits is 14175, while the sum is 33.

The square root of 513037509 is about 22650.3313220800. The cubic root of 513037509 is about 800.5400046825.

The spelling of 513037509 in words is "five hundred thirteen million, thirty-seven thousand, five hundred nine".