85869511225 has 27 divisors (see below), whose sum is σ = 107711298093. Its totient is φ = 67909103040.

The previous prime is 85869511213. The next prime is 85869511261. The reversal of 85869511225 is 52211596858.

The square root of 85869511225 is 293035.

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

It can be written as a sum of positive squares in 4 ways, for example, as 20409265321 + 65460245904 = 142861^2 + 255852^2 .

It is not a de Polignac number, because 85869511225 - 2⁷ = 85869511097 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 150912741 + ... + 150913309.

Almost surely, 2^85869511225 is an apocalyptic number.

85869511225 is the 293035-th square number.

85869511225 is the 146518-th centered octagonal number.

It is an amenable number.

85869511225 is a deficient number, since it is larger than the sum of its proper divisors (21841786868).

85869511225 is an frugal number, since it uses more digits than its factorization.

85869511225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1354 (or 677 counting only the distinct ones).

The product of its digits is 1728000, while the sum is 52.

The spelling of 85869511225 in words is "eighty-five billion, eight hundred sixty-nine million, five hundred eleven thousand, two hundred twenty-five".