513053125 has 48 divisors (see below), whose sum is σ = 704111184. Its totient is φ = 371520000.

The previous prime is 513053119. The next prime is 513053141. The reversal of 513053125 is 521350315.

It can be written as a sum of positive squares in 24 ways, for example, as 474934849 + 38118276 = 21793^2 + 6174^2 .

It is not a de Polignac number, because 513053125 - 2³ = 513053117 is a prime.

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 513053125.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2965539 + ... + 2965711.

It is an arithmetic number, because the mean of its divisors is an integer number (14668983).

Almost surely, 2^513053125 is an apocalyptic number.

It is an amenable number.

513053125 is a deficient number, since it is larger than the sum of its proper divisors (191058059).

513053125 is an equidigital number, since it uses as much as digits as its factorization.

513053125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 25.

The square root of 513053125 is about 22650.6760384762. The cubic root of 513053125 is about 800.5481269644.

The spelling of 513053125 in words is "five hundred thirteen million, fifty-three thousand, one hundred twenty-five".