85135050 has 432 divisors, whose sum is σ = 324166752. Its totient is φ = 16329600.

The previous prime is 85135049. The next prime is 85135073. The reversal of 85135050 is 5053158.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 6548844 + ... + 6548856.

It is an arithmetic number, because the mean of its divisors is an integer number (750386).

Almost surely, 2^85135050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85135050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162083376).

85135050 is an abundant number, since it is smaller than the sum of its proper divisors (239031702).

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

85135050 is a wasteful number, since it uses less digits than its factorization.

85135050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 85135050 is about 9226.8656650024. The cubic root of 85135050 is about 439.9157035482.

The spelling of 85135050 in words is "eighty-five million, one hundred thirty-five thousand, fifty".