513624225 has 24 divisors (see below), whose sum is σ = 867265920. Its totient is φ = 268102720.

The previous prime is 513624217. The next prime is 513624227. The reversal of 513624225 is 522426315.

It is not a de Polignac number, because 513624225 - 2³ = 513624217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 513624192 and 513624201.

It is not an unprimeable number, because it can be changed into a prime (513624227) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69330 + ... + 76379.

It is an arithmetic number, because the mean of its divisors is an integer number (36136080).

Almost surely, 2^513624225 is an apocalyptic number.

It is an amenable number.

513624225 is a deficient number, since it is larger than the sum of its proper divisors (353641695).

513624225 is a wasteful number, since it uses less digits than its factorization.

513624225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145769 (or 145764 counting only the distinct ones).

The product of its digits is 14400, while the sum is 30.

The square root of 513624225 is about 22663.2792199187. The cubic root of 513624225 is about 800.8450575537.

The spelling of 513624225 in words is "five hundred thirteen million, six hundred twenty-four thousand, two hundred twenty-five".