801585252 has 108 divisors (see below), whose sum is σ = 2206189440. Its totient is φ = 245284416.

The previous prime is 801585251. The next prime is 801585341. The reversal of 801585252 is 252585108.

801585252 is a `hidden beast` number, since 80 + 1 + 58 + 525 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (801585251) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2183973 + ... + 2184339.

It is an arithmetic number, because the mean of its divisors is an integer number (20427680).

Almost surely, 2^801585252 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 801585252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1103094720).

801585252 is an abundant number, since it is smaller than the sum of its proper divisors (1404604188).

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

801585252 is a wasteful number, since it uses less digits than its factorization.

801585252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 762 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 36.

The square root of 801585252 is about 28312.2809395499. The cubic root of 801585252 is about 928.9305361516.

The spelling of 801585252 in words is "eight hundred one million, five hundred eighty-five thousand, two hundred fifty-two".