901285520 has 80 divisors (see below), whose sum is σ = 2213400000. Its totient is φ = 340360704.

The previous prime is 901285513. The next prime is 901285571. The reversal of 901285520 is 25582109.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 529631 + ... + 531329.

It is an arithmetic number, because the mean of its divisors is an integer number (27667500).

Almost surely, 2^901285520 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 901285520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1106700000).

901285520 is an abundant number, since it is smaller than the sum of its proper divisors (1312114480).

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

901285520 is a wasteful number, since it uses less digits than its factorization.

901285520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2080 (or 2074 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 32.

The square root of 901285520 is about 30021.4176880440. The cubic root of 901285520 is about 965.9488532889.

The spelling of 901285520 in words is "nine hundred one million, two hundred eighty-five thousand, five hundred twenty".