84881909025 has 27 divisors (see below), whose sum is σ = 152040758259. Its totient is φ = 45268020720.

The previous prime is 84881909023. The next prime is 84881909033. The reversal of 84881909025 is 52090918848.

The square root of 84881909025 is 291345.

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., 30557487249 + 54324421776 = 174807^2 + 233076^2 .

It is not a de Polignac number, because 84881909025 - 2¹ = 84881909023 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (84881909023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4360464 + ... + 4379886.

Almost surely, 2^84881909025 is an apocalyptic number.

84881909025 is the 291345-th square number.

84881909025 is the 145673-rd centered octagonal number.

It is an amenable number.

84881909025 is a deficient number, since it is larger than the sum of its proper divisors (67158849234).

84881909025 is an frugal number, since it uses more digits than its factorization.

84881909025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38862 (or 19431 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The spelling of 84881909025 in words is "eighty-four billion, eight hundred eighty-one million, nine hundred nine thousand, twenty-five".