27833917225 has 27 divisors (see below), whose sum is σ = 35153402661. Its totient is φ = 21862058400.

The previous prime is 27833917187. The next prime is 27833917249. The reversal of 27833917225 is 52271933872.

The square root of 27833917225 is 166835.

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 12820806441 + 15013110784 = 113229^2 + 122528^2 .

It is not a de Polignac number, because 27833917225 - 2²¹ = 27831820073 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, 50884402 + ... + 50884948.

Almost surely, 2^27833917225 is an apocalyptic number.

27833917225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

27833917225 is the 166835-th square number.

27833917225 is the 83418-th centered octagonal number.

It is an amenable number.

27833917225 is a deficient number, since it is larger than the sum of its proper divisors (7319485436).

27833917225 is an frugal number, since it uses more digits than its factorization.

27833917225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1226 (or 613 counting only the distinct ones).

The product of its digits is 1270080, while the sum is 49.

Multiplying 27833917225 by its sum of digits (49), we get a square (1363861944025 = 1167845²).

The spelling of 27833917225 in words is "twenty-seven billion, eight hundred thirty-three million, nine hundred seventeen thousand, two hundred twenty-five".