252402283008 has 150 divisors (see below), whose sum is σ = 753659851131. Its totient is φ = 84099990528.

The previous prime is 252402282983. The next prime is 252402283009. The reversal of 252402283008 is 800382204252.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 126201141504 + 126201141504 = 355248^2 + 355248^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=355248.

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 (252402283009) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 102310191 + ... + 102312657.

Almost surely, 2^252402283008 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 252402283008

252402283008 is an abundant number, since it is smaller than the sum of its proper divisors (501257568123).

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

252402283008 is an frugal number, since it uses more digits than its factorization.

252402283008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4964 (or 2472 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 252402283008 in words is "two hundred fifty-two billion, four hundred two million, two hundred eighty-three thousand, eight".