252033132090 has 128 divisors (see below), whose sum is σ = 633289181184. Its totient is φ = 64139040000.

The previous prime is 252033132089. The next prime is 252033132121. The reversal of 252033132090 is 90231330252.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11871585 + ... + 11892795.

It is an arithmetic number, because the mean of its divisors is an integer number (4947571728).

Almost surely, 2^252033132090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252033132090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316644590592).

252033132090 is an abundant number, since it is smaller than the sum of its proper divisors (381256049094).

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

252033132090 is a wasteful number, since it uses less digits than its factorization.

252033132090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21476.

The product of its (nonzero) digits is 9720, while the sum is 30.

The spelling of 252033132090 in words is "two hundred fifty-two billion, thirty-three million, one hundred thirty-two thousand, ninety".