52022767225 has 135 divisors (see below), whose sum is σ = 79577752215. Its totient is φ = 33720086400.

The previous prime is 52022767213. The next prime is 52022767241. The reversal of 52022767225 is 52276722025.

The square root of 52022767225 is 228085.

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 48124513129 + 3898254096 = 219373^2 + 62436^2 .

It is not a de Polignac number, because 52022767225 - 2⁹ = 52022766713 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1793888511 + ... + 1793888539.

Almost surely, 2^52022767225 is an apocalyptic number.

52022767225 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

52022767225 is the 228085-th square number.

52022767225 is the 114043-rd centered octagonal number.

It is an amenable number.

52022767225 is a deficient number, since it is larger than the sum of its proper divisors (27554984990).

52022767225 is an equidigital number, since it uses as much as digits as its factorization.

52022767225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 40.

The spelling of 52022767225 in words is "fifty-two billion, twenty-two million, seven hundred sixty-seven thousand, two hundred twenty-five".