513857 has 4 divisors (see below), whose sum is σ = 515796. Its totient is φ = 511920.

The previous prime is 513841. The next prime is 513871. The reversal of 513857 is 758315.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 190096 + 323761 = 436^2 + 569^2 .

It is a cyclic number.

It is not a de Polignac number, because 513857 - 2⁴ = 513841 is a prime.

It is a Duffinian number.

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 513857.

It is not an unprimeable number, because it can be changed into a prime (513157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 494 + ... + 1127.

It is an arithmetic number, because the mean of its divisors is an integer number (128949).

2⁵¹³⁸⁵⁷ is an apocalyptic number.

It is an amenable number.

513857 is a deficient number, since it is larger than the sum of its proper divisors (1939).

513857 is a wasteful number, since it uses less digits than its factorization.

513857 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1938.

The product of its digits is 4200, while the sum is 29.

The square root of 513857 is about 716.8381965269. The cubic root of 513857 is about 80.0966020536.

The spelling of 513857 in words is "five hundred thirteen thousand, eight hundred fifty-seven".