513764 has 24 divisors (see below), whose sum is σ = 960960. Its totient is φ = 239904.

The previous prime is 513761. The next prime is 513767. The reversal of 513764 is 467315.

It is an interprime number because it is at equal distance from previous prime (513761) and next prime (513767).

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513761) 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, 4937 + ... + 5039.

It is an arithmetic number, because the mean of its divisors is an integer number (40040).

2⁵¹³⁷⁶⁴ is an apocalyptic number.

It is an amenable number.

513764 is a deficient number, since it is larger than the sum of its proper divisors (447196).

513764 is a wasteful number, since it uses less digits than its factorization.

513764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 177 counting only the distinct ones).

The product of its digits is 2520, while the sum is 26.

The square root of 513764 is about 716.7733253965. The cubic root of 513764 is about 80.0917696888.

The spelling of 513764 in words is "five hundred thirteen thousand, seven hundred sixty-four".