27677313225 has 45 divisors (see below), whose sum is σ = 51281822757. Its totient is φ = 14757240960.

The previous prime is 27677313217. The next prime is 27677313229. The reversal of 27677313225 is 52231377672.

It is a happy number.

The square root of 27677313225 is 166365.

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

It can be written as a sum of positive squares in 4 ways, for example, as 9442591929 + 18234721296 = 97173^2 + 135036^2 .

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

It is not a de Polignac number, because 27677313225 - 2³ = 27677313217 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (27677313229) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 7484577 + ... + 7488273.

Almost surely, 2^27677313225 is an apocalyptic number.

27677313225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

27677313225 is the 166365-th square number.

27677313225 is the 83183-rd centered octagonal number.

It is an amenable number.

27677313225 is a deficient number, since it is larger than the sum of its proper divisors (23604509532).

27677313225 is an frugal number, since it uses more digits than its factorization.

27677313225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7416 (or 3705 counting only the distinct ones).

The product of its digits is 740880, while the sum is 45.

The spelling of 27677313225 in words is "twenty-seven billion, six hundred seventy-seven million, three hundred thirteen thousand, two hundred twenty-five".