85611252 has 48 divisors (see below), whose sum is σ = 216034560. Its totient is φ = 26284032.

The previous prime is 85611247. The next prime is 85611257. The reversal of 85611252 is 25211658.

It is an interprime number because it is at equal distance from previous prime (85611247) and next prime (85611257).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85611257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5124 + ... + 14052.

It is an arithmetic number, because the mean of its divisors is an integer number (4500720).

Almost surely, 2^85611252 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85611252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108017280).

85611252 is an abundant number, since it is smaller than the sum of its proper divisors (130423308).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

85611252 is a wasteful number, since it uses less digits than its factorization.

85611252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9000 (or 8998 counting only the distinct ones).

The product of its digits is 4800, while the sum is 30.

The square root of 85611252 is about 9252.6348679714. The cubic root of 85611252 is about 440.7344002586.

The spelling of 85611252 in words is "eighty-five million, six hundred eleven thousand, two hundred fifty-two".