85578251 has 8 divisors (see below), whose sum is σ = 94540800. Its totient is φ = 76812840.

The previous prime is 85578247. The next prime is 85578281. The reversal of 85578251 is 15287558.

85578251 = 479² + 480² + ... + 715².

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

It is a cyclic number.

It is not a de Polignac number, because 85578251 - 2² = 85578247 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 85578199 and 85578208.

It is not an unprimeable number, because it can be changed into a prime (85578281) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48371 + ... + 50108.

It is an arithmetic number, because the mean of its divisors is an integer number (11817600).

Almost surely, 2^85578251 is an apocalyptic number.

85578251 is a deficient number, since it is larger than the sum of its proper divisors (8962549).

85578251 is a wasteful number, since it uses less digits than its factorization.

85578251 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98569.

The product of its digits is 112000, while the sum is 41.

The square root of 85578251 is about 9250.8513662257. The cubic root of 85578251 is about 440.6777622783.

The spelling of 85578251 in words is "eighty-five million, five hundred seventy-eight thousand, two hundred fifty-one".