514268265625 has 21 divisors (see below), whose sum is σ = 642939172617. Its totient is φ = 411342900000.

The previous prime is 514268265587. The next prime is 514268265629. The reversal of 514268265625 is 526562862415.

The square root of 514268265625 is 717125.

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

It can be written as a sum of positive squares in 10 ways, for example, as 98547649929 + 415720615696 = 313923^2 + 644764^2 .

It is not a de Polignac number, because 514268265625 - 2¹¹ = 514268263577 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (514268265629) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 89637757 + ... + 89643493.

It is an arithmetic number, because the mean of its divisors is an integer number (30616151077).

Almost surely, 2^514268265625 is an apocalyptic number.

514268265625 is the 717125-th square number.

514268265625 is the 358563-rd centered octagonal number.

It is an amenable number.

514268265625 is a deficient number, since it is larger than the sum of its proper divisors (128670906992).

514268265625 is an frugal number, since it uses more digits than its factorization.

514268265625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11504 (or 5742 counting only the distinct ones).

The product of its digits is 6912000, while the sum is 52.

The spelling of 514268265625 in words is "five hundred fourteen billion, two hundred sixty-eight million, two hundred sixty-five thousand, six hundred twenty-five".