61227573288025 has 27 divisors (see below), whose sum is σ = 76119717003519. Its totient is φ = 48854952498000.

The previous prime is 61227573288001. The next prime is 61227573288031. The reversal of 61227573288025 is 52088237572216.

It is a happy number.

The square root of 61227573288025 is 7824805.

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

It can be written as a sum of positive squares in only one way, i.e., 22041926383689 + 39185646904336 = 4694883^2 + 6259844^2 .

It is not a de Polignac number, because 61227573288025 - 2²¹ = 61227571190873 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, 16862452960 + ... + 16862456590.

Almost surely, 2^{61227573288025} is an apocalyptic number.

61227573288025 is the 7824805-th square number.

61227573288025 is the 3912403-rd centered octagonal number.

It is an amenable number.

61227573288025 is a deficient number, since it is larger than the sum of its proper divisors (14892143715494).

61227573288025 is an frugal number, since it uses more digits than its factorization.

61227573288025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8134 (or 4067 counting only the distinct ones).

The product of its (nonzero) digits is 22579200, while the sum is 58.

The spelling of 61227573288025 in words is "sixty-one trillion, two hundred twenty-seven billion, five hundred seventy-three million, two hundred eighty-eight thousand, twenty-five".