85296123025 has 9 divisors (see below), whose sum is σ = 105769003323. Its totient is φ = 68235730200.

The previous prime is 85296123023. The next prime is 85296123049. The reversal of 85296123025 is 52032169258.

The square root of 85296123025 is 292055.

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., 30706604289 + 54589518736 = 175233^2 + 233644^2 .

It is not a de Polignac number, because 85296123025 - 2¹ = 85296123023 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85296123023) 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 8 ways as a sum of consecutive naturals, for example, 1431070 + ... + 1489480.

Almost surely, 2^85296123025 is an apocalyptic number.

85296123025 is the 292055-th square number.

85296123025 is the 146028-th centered octagonal number.

It is an amenable number.

85296123025 is a deficient number, since it is larger than the sum of its proper divisors (20472880298).

85296123025 is an frugal number, since it uses more digits than its factorization.

85296123025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116832 (or 58416 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 43.

The spelling of 85296123025 in words is "eighty-five billion, two hundred ninety-six million, one hundred twenty-three thousand, twenty-five".