274005137025 has 27 divisors (see below), whose sum is σ = 490787709321. Its totient is φ = 146131885440.

The previous prime is 274005136987. The next prime is 274005137033. The reversal of 274005137025 is 520731500472.

The square root of 274005137025 is 523455.

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

274005137025 is a `hidden beast` number, since 2 + 74 + 0 + 0 + 513 + 70 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 123966663921 + 150038473104 = 352089^2 + 387348^2 .

It is not a de Polignac number, because 274005137025 - 2²¹ = 274003039873 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7834377 + ... + 7869273.

Almost surely, 2^274005137025 is an apocalyptic number.

274005137025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

274005137025 is the 523455-th square number.

274005137025 is the 261728-th centered octagonal number.

It is an amenable number.

274005137025 is a deficient number, since it is larger than the sum of its proper divisors (216782572296).

274005137025 is an frugal number, since it uses more digits than its factorization.

274005137025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69810 (or 34905 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

Multiplying 274005137025 by its sum of digits (36), we get a square (9864184932900 = 3140730²).

Adding to 274005137025 its reverse (520731500472), we get a palindrome (794736637497).

The spelling of 274005137025 in words is "two hundred seventy-four billion, five million, one hundred thirty-seven thousand, twenty-five".