513957 has 8 divisors (see below), whose sum is σ = 695776. Its totient is φ = 337392.

The previous prime is 513943. The next prime is 513977. The reversal of 513957 is 759315.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 513957 - 2⁷ = 513829 is a prime.

It is a Duffinian number.

513957 is a lucky number.

It is a nialpdrome in base 14.

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 513957.

It is not an unprimeable number, because it can be changed into a prime (513917) 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 7 ways as a sum of consecutive naturals, for example, 1078 + ... + 1479.

It is an arithmetic number, because the mean of its divisors is an integer number (86972).

2⁵¹³⁹⁵⁷ is an apocalyptic number.

It is an amenable number.

513957 is a deficient number, since it is larger than the sum of its proper divisors (181819).

513957 is a wasteful number, since it uses less digits than its factorization.

513957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2627.

The product of its digits is 4725, while the sum is 30.

The square root of 513957 is about 716.9079438812. The cubic root of 513957 is about 80.1017974943.

The spelling of 513957 in words is "five hundred thirteen thousand, nine hundred fifty-seven".