2252004001312 has 96 divisors (see below), whose sum is σ = 4868170599600. Its totient is φ = 1019231797248.

The previous prime is 2252004001213. The next prime is 2252004001321. The reversal of 2252004001312 is 2131004002522.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1633887271696 + 618116729616 = 1278236^2 + 786204^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4142364 + ... + 4654372.

Almost surely, 2^{2252004001312} 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 2252004001312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2434085299800).

2252004001312 is an abundant number, since it is smaller than the sum of its proper divisors (2616166598288).

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

2252004001312 is a wasteful number, since it uses less digits than its factorization.

2252004001312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512238 (or 512230 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 2252004001312 its reverse (2131004002522), we get a palindrome (4383008003834).

The spelling of 2252004001312 in words is "two trillion, two hundred fifty-two billion, four million, one thousand, three hundred twelve".