513801 has 6 divisors (see below), whose sum is σ = 742170. Its totient is φ = 342528.

The previous prime is 513781. The next prime is 513829. The reversal of 513801 is 108315.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 423801 + 90000 = 651^2 + 300^2 .

It is not a de Polignac number, because 513801 - 2⁵ = 513769 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 513801.

It is not an unprimeable number, because it can be changed into a prime (513841) 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 5 ways as a sum of consecutive naturals, for example, 28536 + ... + 28553.

It is an arithmetic number, because the mean of its divisors is an integer number (123695).

2⁵¹³⁸⁰¹ is an apocalyptic number.

It is an amenable number.

513801 is a deficient number, since it is larger than the sum of its proper divisors (228369).

513801 is a wasteful number, since it uses less digits than its factorization.

513801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57095 (or 57092 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 513801 is about 716.7991350441. The cubic root of 513801 is about 80.0936923124.

The spelling of 513801 in words is "five hundred thirteen thousand, eight hundred one".