509274913225 has 27 divisors (see below), whose sum is σ = 683876865333. Its totient is φ = 376045681440.

The previous prime is 509274913177. The next prime is 509274913237. The reversal of 509274913225 is 522319472905.

The square root of 509274913225 is 713635.

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

It can be written as a sum of positive squares in 4 ways, for example, as 131266362249 + 378008550976 = 362307^2 + 614824^2 .

It is a de Polignac number, because none of the positive numbers 2^k-509274913225 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 46380786 + ... + 46391764.

Almost surely, 2^509274913225 is an apocalyptic number.

509274913225 is the 713635-th square number.

509274913225 is the 356818-th centered octagonal number.

It is an amenable number.

509274913225 is a deficient number, since it is larger than the sum of its proper divisors (174601952108).

509274913225 is an frugal number, since it uses more digits than its factorization.

509274913225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21994 (or 10997 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 49.

Multiplying 509274913225 by its sum of digits (49), we get a square (24954470748025 = 4995445²).

The spelling of 509274913225 in words is "five hundred nine billion, two hundred seventy-four million, nine hundred thirteen thousand, two hundred twenty-five".