85693780225 has 27 divisors (see below), whose sum is σ = 107336403561. Its totient is φ = 67867682400.

The previous prime is 85693780199. The next prime is 85693780243. The reversal of 85693780225 is 52208739658.

The square root of 85693780225 is 292735.

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 8760772801 + 76933007424 = 93599^2 + 277368^2 .

It is not a de Polignac number, because 85693780225 - 2³¹ = 83546296577 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, 185886495 + ... + 185886955.

Almost surely, 2^85693780225 is an apocalyptic number.

85693780225 is the 292735-th square number.

85693780225 is the 146368-th centered octagonal number.

It is an amenable number.

85693780225 is a deficient number, since it is larger than the sum of its proper divisors (21642623336).

85693780225 is an frugal number, since it uses more digits than its factorization.

85693780225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1186 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 55.

The spelling of 85693780225 in words is "eighty-five billion, six hundred ninety-three million, seven hundred eighty thousand, two hundred twenty-five".