85381251 has 8 divisors (see below), whose sum is σ = 115989840. Its totient is φ = 55846752.

The previous prime is 85381213. The next prime is 85381279. The reversal of 85381251 is 15218358.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 85381251 - 2⁹ = 85380739 is a prime.

It is not an unprimeable number, because it can be changed into a prime (85381951) 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 7 ways as a sum of consecutive naturals, for example, 268336 + ... + 268653.

It is an arithmetic number, because the mean of its divisors is an integer number (14498730).

Almost surely, 2^85381251 is an apocalyptic number.

85381251 is a deficient number, since it is larger than the sum of its proper divisors (30608589).

85381251 is a wasteful number, since it uses less digits than its factorization.

85381251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537045.

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

The square root of 85381251 is about 9240.1975628230. The cubic root of 85381251 is about 440.3393576875.

The spelling of 85381251 in words is "eighty-five million, three hundred eighty-one thousand, two hundred fifty-one".