25317583225 has 45 divisors (see below), whose sum is σ = 34664772415. Its totient is φ = 18342777200.

The previous prime is 25317583211. The next prime is 25317583283. The reversal of 25317583225 is 52238571352.

It is a happy number.

The square root of 25317583225 is 159115.

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., 9114329961 + 16203253264 = 95469^2 + 127292^2 .

It is not a de Polignac number, because 25317583225 - 2⁷ = 25317583097 is a prime.

It is an unprimeable number.

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 44 ways as a sum of consecutive naturals, for example, 96264444 + ... + 96264706.

Almost surely, 2^25317583225 is an apocalyptic number.

25317583225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

25317583225 is the 159115-th square number.

25317583225 is the 79558-th centered octagonal number.

It is an amenable number.

25317583225 is a deficient number, since it is larger than the sum of its proper divisors (9347189190).

25317583225 is an frugal number, since it uses more digits than its factorization.

25317583225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 279 counting only the distinct ones).

The product of its digits is 504000, while the sum is 43.

It can be divided in two parts, 253175 and 83225, that added together give a square (336400 = 580²).

The spelling of 25317583225 in words is "twenty-five billion, three hundred seventeen million, five hundred eighty-three thousand, two hundred twenty-five".