85957444225 has 27 divisors (see below), whose sum is σ = 107498354691. Its totient is φ = 68183103600.

The previous prime is 85957444219. The next prime is 85957444231. The reversal of 85957444225 is 52244475958.

The square root of 85957444225 is 293185.

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

It is an interprime number because it is at equal distance from previous prime (85957444219) and next prime (85957444231).

It can be written as a sum of positive squares in only one way, i.e., 30944679921 + 55012764304 = 175911^2 + 234548^2 .

It is not a de Polignac number, because 85957444225 - 2⁹ = 85957443713 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 279991522 + ... + 279991828.

Almost surely, 2^85957444225 is an apocalyptic number.

85957444225 is the 293185-th square number.

85957444225 is the 146593-rd centered octagonal number.

It is an amenable number.

85957444225 is a deficient number, since it is larger than the sum of its proper divisors (21540910466).

85957444225 is an frugal number, since it uses more digits than its factorization.

85957444225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006 (or 503 counting only the distinct ones).

The product of its digits is 16128000, while the sum is 55.

The spelling of 85957444225 in words is "eighty-five billion, nine hundred fifty-seven million, four hundred forty-four thousand, two hundred twenty-five".