1085173524 has 120 divisors (see below), whose sum is σ = 3000412800. Its totient is φ = 341055360.

The previous prime is 1085173517. The next prime is 1085173549. The reversal of 1085173524 is 4253715801.

1085173524 is a `hidden beast` number, since 10 + 8 + 51 + 73 + 524 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2517589 + ... + 2518019.

It is an arithmetic number, because the mean of its divisors is an integer number (25003440).

Almost surely, 2^1085173524 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 1085173524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1500206400).

1085173524 is an abundant number, since it is smaller than the sum of its proper divisors (1915239276).

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

1085173524 is a wasteful number, since it uses less digits than its factorization.

1085173524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 875 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 1085173524 is about 32941.9720721149. The cubic root of 1085173524 is about 1027.6212185828.

The spelling of 1085173524 in words is "one billion, eighty-five million, one hundred seventy-three thousand, five hundred twenty-four".