85752337225 has 9 divisors (see below), whose sum is σ = 106334713767. Its totient is φ = 68600698440.

The previous prime is 85752337207. The next prime is 85752337241. The reversal of 85752337225 is 52273325758.

The square root of 85752337225 is 292835.

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

It can be written as a sum of positive squares in only one way, i.e., 30870841401 + 54881495824 = 175701^2 + 234268^2 .

It is not a de Polignac number, because 85752337225 - 2³⁵ = 51392598857 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1434892 + ... + 1493458.

Almost surely, 2^85752337225 is an apocalyptic number.

85752337225 is the 292835-th square number.

85752337225 is the 146418-th centered octagonal number.

It is an amenable number.

85752337225 is a deficient number, since it is larger than the sum of its proper divisors (20582376542).

85752337225 is an frugal number, since it uses more digits than its factorization.

85752337225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117144 (or 58572 counting only the distinct ones).

The product of its digits is 3528000, while the sum is 49.

Multiplying 85752337225 by its sum of digits (49), we get a square (4201864524025 = 2049845²).

The spelling of 85752337225 in words is "eighty-five billion, seven hundred fifty-two million, three hundred thirty-seven thousand, two hundred twenty-five".