509630625 has 135 divisors (see below), whose sum is σ = 1095518853. Its totient is φ = 227556000.

The previous prime is 509630623. The next prime is 509630629. The reversal of 509630625 is 526036905.

The square root of 509630625 is 22575.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 39955041 + 469675584 = 6321^2 + 21672^2 .

It is not a de Polignac number, because 509630625 - 2¹ = 509630623 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 509630625.

It is not an unprimeable number, because it can be changed into a prime (509630623) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 11851854 + ... + 11851896.

Almost surely, 2^509630625 is an apocalyptic number.

509630625 is the 22575-th square number.

509630625 is the 11288-th centered octagonal number.

It is an amenable number.

509630625 is an abundant number, since it is smaller than the sum of its proper divisors (585888228).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

509630625 is an equidigital number, since it uses as much as digits as its factorization.

509630625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The cubic root of 509630625 is about 798.7640420140.

Multiplying 509630625 by its sum of digits (36), we get a square (18346702500 = 135450²).

It can be divided in two parts, 5096 and 30625, that added together give a square (35721 = 189²).

The spelling of 509630625 in words is "five hundred nine million, six hundred thirty thousand, six hundred twenty-five".