513690 has 16 divisors (see below), whose sum is σ = 1232928. Its totient is φ = 136976.

The previous prime is 513683. The next prime is 513691. The reversal of 513690 is 96315.

It is a super-2 number, since 2×513690² = 527754832200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 513690.

It is not an unprimeable number, because it can be changed into a prime (513691) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8532 + ... + 8591.

It is an arithmetic number, because the mean of its divisors is an integer number (77058).

2⁵¹³⁶⁹⁰ is an apocalyptic number.

513690 is an abundant number, since it is smaller than the sum of its proper divisors (719238).

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

513690 is a wasteful number, since it uses less digits than its factorization.

513690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17133.

The product of its (nonzero) digits is 810, while the sum is 24.

The square root of 513690 is about 716.7217033131. The cubic root of 513690 is about 80.0879241647.

It can be divided in two parts, 51 and 3690, that added together give a triangular number (3741 = T₈₆).

The spelling of 513690 in words is "five hundred thirteen thousand, six hundred ninety".