27319131225 has 45 divisors (see below), whose sum is σ = 50618255853. Its totient is φ = 14566236480.

The previous prime is 27319131143. The next prime is 27319131233. The reversal of 27319131225 is 52213191372.

It is a happy number.

The square root of 27319131225 is 165285.

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

27319131225 is a `hidden beast` number, since 2 + 7 + 319 + 1 + 312 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10532301129 + 16786830096 = 102627^2 + 129564^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 27319131225 - 2¹³ = 27319123033 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 27319131225.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 7435989 + ... + 7439661.

Almost surely, 2^27319131225 is an apocalyptic number.

27319131225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

27319131225 is the 165285-th square number.

27319131225 is the 82643-rd centered octagonal number.

It is an amenable number.

27319131225 is a deficient number, since it is larger than the sum of its proper divisors (23299124628).

27319131225 is an frugal number, since it uses more digits than its factorization.

27319131225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7368 (or 3681 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

Multiplying 27319131225 by its sum of digits (36), we get a square (983488724100 = 991710²).

The spelling of 27319131225 in words is "twenty-seven billion, three hundred nineteen million, one hundred thirty-one thousand, two hundred twenty-five".