85257576121 has 9 divisors (see below), whose sum is σ = 88105892133. Its totient is φ = 82498572060.

The previous prime is 85257576097. The next prime is 85257576149. The reversal of 85257576121 is 12167575258.

The square root of 85257576121 is 291989.

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

It is not a de Polignac number, because 85257576121 - 2⁹ = 85257575609 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85257576181) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9046950 + ... + 9056368.

Almost surely, 2^85257576121 is an apocalyptic number.

85257576121 is the 291989-th square number.

85257576121 is the 145995-th centered octagonal number.

It is an amenable number.

85257576121 is a deficient number, since it is larger than the sum of its proper divisors (2848316012).

85257576121 is an frugal number, since it uses more digits than its factorization.

85257576121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18900 (or 9450 counting only the distinct ones).

The product of its digits is 1176000, while the sum is 49.

Multiplying 85257576121 by its sum of digits (49), we get a square (4177621229929 = 2043923²).

The spelling of 85257576121 in words is "eighty-five billion, two hundred fifty-seven million, five hundred seventy-six thousand, one hundred twenty-one".