2252052013 has 2 divisors, whose sum is σ = 2252052014. Its totient is φ = 2252052012.

The previous prime is 2252051983. The next prime is 2252052037. The reversal of 2252052013 is 3102502522.

2252052013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2053721124 + 198330889 = 45318^2 + 14083^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2252052013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2252056013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1126026006 + 1126026007.

It is an arithmetic number, because the mean of its divisors is an integer number (1126026007).

Almost surely, 2^2252052013 is an apocalyptic number.

It is an amenable number.

2252052013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2252052013 is an equidigital number, since it uses as much as digits as its factorization.

2252052013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 2252052013 is about 47455.7900893031. The cubic root of 2252052013 is about 1310.7689312806.

Adding to 2252052013 its reverse (3102502522), we get a palindrome (5354554535).

The spelling of 2252052013 in words is "two billion, two hundred fifty-two million, fifty-two thousand, thirteen".