513990 has 24 divisors (see below), whose sum is σ = 1336608. Its totient is φ = 137040.

The previous prime is 513977. The next prime is 513991. The reversal of 513990 is 99315.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 513990.

It is not an unprimeable number, because it can be changed into a prime (513991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2766 + ... + 2945.

It is an arithmetic number, because the mean of its divisors is an integer number (55692).

2⁵¹³⁹⁹⁰ is an apocalyptic number.

513990 is an abundant number, since it is smaller than the sum of its proper divisors (822618).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

513990 is a wasteful number, since it uses less digits than its factorization.

513990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5724 (or 5721 counting only the distinct ones).

The product of its (nonzero) digits is 1215, while the sum is 27.

The square root of 513990 is about 716.9309590191. The cubic root of 513990 is about 80.1035118418.

The spelling of 513990 in words is "five hundred thirteen thousand, nine hundred ninety".