513723 has 16 divisors (see below), whose sum is σ = 829440. Its totient is φ = 276096.

The previous prime is 513719. The next prime is 513727. The reversal of 513723 is 327315.

It is a happy number.

513723 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (513719) and next prime (513727).

It is not a de Polignac number, because 513723 - 2² = 513719 is a prime.

It is a super-2 number, since 2×513723² = 527822641458, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

513723 is strictly pandigital in base 7.

It is a self number, because there is not a number n which added to its sum of digits gives 513723.

It is not an unprimeable number, because it can be changed into a prime (513727) 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, 363 + ... + 1076.

It is an arithmetic number, because the mean of its divisors is an integer number (51840).

2⁵¹³⁷²³ is an apocalyptic number.

513723 is a deficient number, since it is larger than the sum of its proper divisors (315717).

513723 is a wasteful number, since it uses less digits than its factorization.

513723 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1466.

The product of its digits is 630, while the sum is 21.

The square root of 513723 is about 716.7447244312. The cubic root of 513723 is about 80.0896391062.

The spelling of 513723 in words is "five hundred thirteen thousand, seven hundred twenty-three".