2252152512522 has 144 divisors (see below), whose sum is σ = 5428469539584. Its totient is φ = 674247499200.

The previous prime is 2252152512473. The next prime is 2252152512529.

It is a happy number.

2252152512522 is a `hidden beast` number, since 2 + 2 + 5 + 2 + 1 + 525 + 125 + 2 + 2 = 666.

2252152512522 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (2252152512529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 96676308 + ... + 96699600.

It is an arithmetic number, because the mean of its divisors is an integer number (37697705136).

Almost surely, 2^{2252152512522} is an apocalyptic number.

2252152512522 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2252152512522, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2714234769792).

2252152512522 is an abundant number, since it is smaller than the sum of its proper divisors (3176317027062).

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

2252152512522 is a wasteful number, since it uses less digits than its factorization.

2252152512522 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23857 (or 23843 counting only the distinct ones).

The product of its digits is 80000, while the sum is 36.

The spelling of 2252152512522 in words is "two trillion, two hundred fifty-two billion, one hundred fifty-two million, five hundred twelve thousand, five hundred twenty-two".