314861265625 has 35 divisors (see below), whose sum is σ = 399534749171. Its totient is φ = 248129475000.

The previous prime is 314861265619. The next prime is 314861265629. The reversal of 314861265625 is 526562168413.

The square root of 314861265625 is 561125.

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 275848695369 + 39012570256 = 525213^2 + 197516^2 .

It is not a de Polignac number, because 314861265625 - 2¹³ = 314861257433 is a prime.

It is a Duffinian number.

Its product of digits (2073600) is a multiple of the sum of its prime divisors (72).

It is not an unprimeable number, because it can be changed into a prime (314861265629) 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 34 ways as a sum of consecutive naturals, for example, 4699421842 + ... + 4699421908.

Almost surely, 2^314861265625 is an apocalyptic number.

314861265625 is the 561125-th square number.

314861265625 is the 280563-rd centered octagonal number.

It is an amenable number.

314861265625 is a deficient number, since it is larger than the sum of its proper divisors (84673483546).

314861265625 is an frugal number, since it uses more digits than its factorization.

314861265625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 72 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 49.

Multiplying 314861265625 by its sum of digits (49), we get a square (15428202015625 = 3927875²).

The spelling of 314861265625 in words is "three hundred fourteen billion, eight hundred sixty-one million, two hundred sixty-five thousand, six hundred twenty-five".