84505825217025 has 27 divisors (see below), whose sum is σ = 151359569477571. Its totient is φ = 45069699907440.

The previous prime is 84505825217017. The next prime is 84505825217027. The reversal of 84505825217025 is 52071252850548.

The square root of 84505825217025 is 9192705.

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

84505825217025 is a `hidden beast` number, since 8 + 4 + 5 + 0 + 582 + 52 + 1 + 7 + 0 + 2 + 5 = 666.

84505825217025 is digitally balanced in base 6, 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 only one way, i.e., 30422097078129 + 54083728138896 = 5515623^2 + 7354164^2 .

It is not a de Polignac number, because 84505825217025 - 2³ = 84505825217017 is a prime.

It is a super-2 number, since 2×84505825217025² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (84505825217027) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 137584152 + ... + 138196998.

Almost surely, 2^{84505825217025} is an apocalyptic number.

84505825217025 is the 9192705-th square number.

84505825217025 is the 4596353-rd centered octagonal number.

It is an amenable number.

84505825217025 is a deficient number, since it is larger than the sum of its proper divisors (66853744260546).

84505825217025 is an frugal number, since it uses more digits than its factorization.

84505825217025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1225710 (or 612855 counting only the distinct ones).

The product of its (nonzero) digits is 8960000, while the sum is 54.

The spelling of 84505825217025 in words is "eighty-four trillion, five hundred five billion, eight hundred twenty-five million, two hundred seventeen thousand, twenty-five".