85518229225 has 81 divisors (see below), whose sum is σ = 126524368719. Its totient is φ = 57270470400.

The previous prime is 85518229211. The next prime is 85518229231. The reversal of 85518229225 is 52292281558.

It is a happy number.

The square root of 85518229225 is 292435.

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

It can be written as a sum of positive squares in 13 ways, for example, as 46592517609 + 38925711616 = 215853^2 + 197296^2 .

It is not a de Polignac number, because 85518229225 - 2⁵ = 85518229193 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 209090821 + ... + 209091229.

Almost surely, 2^85518229225 is an apocalyptic number.

85518229225 is the 292435-th square number.

85518229225 is the 146218-th centered octagonal number.

It is an amenable number.

85518229225 is a deficient number, since it is larger than the sum of its proper divisors (41006139494).

85518229225 is a wasteful number, since it uses less digits than its factorization.

85518229225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 876 (or 438 counting only the distinct ones).

The product of its digits is 1152000, while the sum is 49.

Multiplying 85518229225 by its sum of digits (49), we get a square (4190393232025 = 2047045²).

The spelling of 85518229225 in words is "eighty-five billion, five hundred eighteen million, two hundred twenty-nine thousand, two hundred twenty-five".