513057 has 8 divisors (see below), whose sum is σ = 720160. Its totient is φ = 324000.

The previous prime is 513053. The next prime is 513059. The reversal of 513057 is 750315.

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 513057 - 2² = 513053 is a prime.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 513057.

It is not an unprimeable number, because it can be changed into a prime (513053) 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, 4444 + ... + 4557.

It is an arithmetic number, because the mean of its divisors is an integer number (90020).

2⁵¹³⁰⁵⁷ is an apocalyptic number.

513057 is a gapful number since it is divisible by the number (57) formed by its first and last digit.

It is an amenable number.

513057 is a deficient number, since it is larger than the sum of its proper divisors (207103).

513057 is a wasteful number, since it uses less digits than its factorization.

513057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9023.

The product of its (nonzero) digits is 525, while the sum is 21.

The square root of 513057 is about 716.2799731948. The cubic root of 513057 is about 80.0550142426.

The spelling of 513057 in words is "five hundred thirteen thousand, fifty-seven".