800513 has 18 divisors (see below), whose sum is σ = 1018818. Its totient is φ = 624960.

The previous prime is 800509. The next prime is 800519. The reversal of 800513 is 315008.

It can be written as a sum of positive squares in only one way, i.e., 753424 + 47089 = 868^2 + 217^2 .

It is not a de Polignac number, because 800513 - 2² = 800509 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 800491 and 800500.

It is not an unprimeable number, because it can be changed into a prime (800519) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 25808 + ... + 25838.

It is an arithmetic number, because the mean of its divisors is an integer number (56601).

2⁸⁰⁰⁵¹³ is an apocalyptic number.

It is an amenable number.

800513 is a deficient number, since it is larger than the sum of its proper divisors (218305).

800513 is a wasteful number, since it uses less digits than its factorization.

800513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 800513 is about 894.7139207590. The cubic root of 800513 is about 92.8516152246.

Multiplying 800513 by its sum of digits (17), we get a square (13608721 = 3689²).

800513 divided by its sum of digits (17) gives a square (47089 = 217²).

The spelling of 800513 in words is "eight hundred thousand, five hundred thirteen".