52969065660225 has 945 divisors, whose sum is σ = 121446778045229. Its totient is φ = 22888971705600.

The previous prime is 52969065660191. The next prime is 52969065660227. The reversal of 52969065660225 is 52206656096925.

The square root of 52969065660225 is 7277985.

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

52969065660225 is a `hidden beast` number, since 5 + 2 + 9 + 69 + 0 + 6 + 566 + 0 + 2 + 2 + 5 = 666.

52969065660225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 22 ways, for example, as 20532942506241 + 32436123153984 = 4531329^2 + 5695272^2 .

It is not a de Polignac number, because 52969065660225 - 2³¹ = 52966918176577 is a prime.

It is not an unprimeable number, because it can be changed into a prime (52969065660227) by changing a digit.

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 944 ways as a sum of consecutive naturals, for example, 1826519505511 + ... + 1826519505539.

Almost surely, 2^{52969065660225} is an apocalyptic number.

52969065660225 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

52969065660225 is the 7277985-th square number.

52969065660225 is the 3638993-rd centered octagonal number.

It is an amenable number.

52969065660225 is an abundant number, since it is smaller than the sum of its proper divisors (68477712385004).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

52969065660225 is an frugal number, since it uses more digits than its factorization.

52969065660225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 104976000, while the sum is 63.

The spelling of 52969065660225 in words is "fifty-two trillion, nine hundred sixty-nine billion, sixty-five million, six hundred sixty thousand, two hundred twenty-five".