85813251 has 16 divisors (see below), whose sum is σ = 118191744. Its totient is φ = 55347264.

The previous prime is 85813243. The next prime is 85813267. The reversal of 85813251 is 15231858.

It is a happy number.

It is not a de Polignac number, because 85813251 - 2³ = 85813243 is a prime.

It is not an unprimeable number, because it can be changed into a prime (85813151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10695 + ... + 16911.

It is an arithmetic number, because the mean of its divisors is an integer number (7386984).

Almost surely, 2^85813251 is an apocalyptic number.

85813251 is a deficient number, since it is larger than the sum of its proper divisors (32378493).

85813251 is a wasteful number, since it uses less digits than its factorization.

85813251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6370.

The product of its digits is 9600, while the sum is 33.

The square root of 85813251 is about 9263.5441921545. The cubic root of 85813251 is about 441.0807643072.

The spelling of 85813251 in words is "eighty-five million, eight hundred thirteen thousand, two hundred fifty-one".