513279109225 has 9 divisors (see below), whose sum is σ = 636470537367. Its totient is φ = 410620421640.

The previous prime is 513279109223. The next prime is 513279109229. The reversal of 513279109225 is 522901972315.

The square root of 513279109225 is 716435.

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

It can be written as a sum of positive squares in only one way, i.e., 184780479321 + 328498629904 = 429861^2 + 573148^2 .

It is not a de Polignac number, because 513279109225 - 2¹ = 513279109223 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (513279109223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3510532 + ... + 3653818.

Almost surely, 2^513279109225 is an apocalyptic number.

513279109225 is the 716435-th square number.

513279109225 is the 358218-th centered octagonal number.

It is an amenable number.

513279109225 is a deficient number, since it is larger than the sum of its proper divisors (123191428142).

513279109225 is an frugal number, since it uses more digits than its factorization.

513279109225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286584 (or 143292 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 46.

The spelling of 513279109225 in words is "five hundred thirteen billion, two hundred seventy-nine million, one hundred nine thousand, two hundred twenty-five".