513322125 has 32 divisors (see below), whose sum is σ = 868682880. Its totient is φ = 269120000.

The previous prime is 513322039. The next prime is 513322129. The reversal of 513322125 is 521223315.

It is a happy number.

It is not a de Polignac number, because 513322125 - 2¹⁶ = 513256589 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 513322095 and 513322104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513322129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10525 + ... + 33725.

It is an arithmetic number, because the mean of its divisors is an integer number (27146340).

Almost surely, 2^513322125 is an apocalyptic number.

It is an amenable number.

513322125 is a deficient number, since it is larger than the sum of its proper divisors (355360755).

513322125 is a wasteful number, since it uses less digits than its factorization.

513322125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23278 (or 23268 counting only the distinct ones).

The product of its digits is 1800, while the sum is 24.

The square root of 513322125 is about 22656.6132729497. The cubic root of 513322125 is about 800.6880148956.

The spelling of 513322125 in words is "five hundred thirteen million, three hundred twenty-two thousand, one hundred twenty-five".