513825 has 48 divisors (see below), whose sum is σ = 999936. Its totient is φ = 230400.

The previous prime is 513781. The next prime is 513829. The reversal of 513825 is 528315.

It is not a de Polignac number, because 513825 - 2⁶ = 513761 is a prime.

It is a super-2 number, since 2×513825² = 528032261250, which contains 22 as substring.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 513795 and 513804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513829) 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 47 ways as a sum of consecutive naturals, for example, 16560 + ... + 16590.

It is an arithmetic number, because the mean of its divisors is an integer number (20832).

2⁵¹³⁸²⁵ is an apocalyptic number.

It is an amenable number.

513825 is a deficient number, since it is larger than the sum of its proper divisors (486111).

513825 is a wasteful number, since it uses less digits than its factorization.

513825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 69 counting only the distinct ones).

The product of its digits is 1200, while the sum is 24.

The square root of 513825 is about 716.8158759403. The cubic root of 513825 is about 80.0949393702.

The spelling of 513825 in words is "five hundred thirteen thousand, eight hundred twenty-five".