27461425333225 has 27 divisors (see below), whose sum is σ = 36873514389999. Its totient is φ = 20278954862400.

The previous prime is 27461425333213. The next prime is 27461425333301. The reversal of 27461425333225 is 52233352416472.

The square root of 27461425333225 is 5240365.

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

It can be written as a sum of positive squares in 13 ways, for example, as 22733566528729 + 4727858804496 = 4767973^2 + 2174364^2 .

It is not a de Polignac number, because 27461425333225 - 2²¹ = 27461423236073 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 340583415 + ... + 340664035.

Almost surely, 2^{27461425333225} is an apocalyptic number.

27461425333225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

27461425333225 is the 5240365-th square number.

27461425333225 is the 2620183-rd centered octagonal number.

It is an amenable number.

27461425333225 is a deficient number, since it is larger than the sum of its proper divisors (9412089056774).

27461425333225 is an frugal number, since it uses more digits than its factorization.

27461425333225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161278 (or 80639 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 49.

Adding to 27461425333225 its reverse (52233352416472), we get a palindrome (79694777749697).

The spelling of 27461425333225 in words is "twenty-seven trillion, four hundred sixty-one billion, four hundred twenty-five million, three hundred thirty-three thousand, two hundred twenty-five".