252750057252 has 144 divisors (see below), whose sum is σ = 768632696832. Its totient is φ = 62794923840.

The previous prime is 252750057251. The next prime is 252750057319.

252750057252 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (252750057251) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 230253 + ... + 747339.

Almost surely, 2^252750057252 is an apocalyptic number.

252750057252 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252750057252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384316348416).

252750057252 is an abundant number, since it is smaller than the sum of its proper divisors (515882639580).

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

252750057252 is a wasteful number, since it uses less digits than its factorization.

252750057252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517158 (or 517133 counting only the distinct ones).

The product of its (nonzero) digits is 490000, while the sum is 42.

The spelling of 252750057252 in words is "two hundred fifty-two billion, seven hundred fifty million, fifty-seven thousand, two hundred fifty-two".