513925 has 12 divisors (see below), whose sum is σ = 649636. Its totient is φ = 403200.

The previous prime is 513923. The next prime is 513937. The reversal of 513925 is 529315.

It can be written as a sum of positive squares in 6 ways, for example, as 146689 + 367236 = 383^2 + 606^2 .

It is not a de Polignac number, because 513925 - 2¹ = 513923 is a prime.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

513925 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 513925.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513923) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1357 + ... + 1693.

2⁵¹³⁹²⁵ is an apocalyptic number.

It is an amenable number.

513925 is a deficient number, since it is larger than the sum of its proper divisors (135711).

513925 is a wasteful number, since it uses less digits than its factorization.

513925 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 403 counting only the distinct ones).

The product of its digits is 1350, while the sum is 25.

The square root of 513925 is about 716.8856254662. The cubic root of 513925 is about 80.1001350266.

The spelling of 513925 in words is "five hundred thirteen thousand, nine hundred twenty-five".