515344515625 has 21 divisors (see below), whose sum is σ = 644284585083. Its totient is φ = 412203825000.

The previous prime is 515344515617. The next prime is 515344515629. The reversal of 515344515625 is 526515443515.

It is a happy number.

The square root of 515344515625 is 717875.

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

It can be written as a sum of positive squares in 3 ways, for example, as 451491268761 + 63853246864 = 671931^2 + 252692^2 .

It is not a de Polignac number, because 515344515625 - 2³ = 515344515617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (515344515629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 89731504 + ... + 89737246.

Almost surely, 2^515344515625 is an apocalyptic number.

515344515625 is the 717875-th square number.

515344515625 is the 358938-th centered octagonal number.

It is an amenable number.

515344515625 is a deficient number, since it is larger than the sum of its proper divisors (128940069458).

515344515625 is an frugal number, since it uses more digits than its factorization.

515344515625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11516 (or 5748 counting only the distinct ones).

The product of its digits is 1800000, while the sum is 46.

The spelling of 515344515625 in words is "five hundred fifteen billion, three hundred forty-four million, five hundred fifteen thousand, six hundred twenty-five".