2252126005081 has 2 divisors, whose sum is σ = 2252126005082. Its totient is φ = 2252126005080.

The previous prime is 2252126005033. The next prime is 2252126005111. The reversal of 2252126005081 is 1805006212522.

2252126005081 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., 2145272855625 + 106853149456 = 1464675^2 + 326884^2 .

It is a cyclic number.

It is not a de Polignac number, because 2252126005081 - 2²³ = 2252117616473 is a prime.

It is a super-2 number, since 2×2252126005081² (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2252120005081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1126063002540 + 1126063002541.

It is an arithmetic number, because the mean of its divisors is an integer number (1126063002541).

Almost surely, 2^{2252126005081} is an apocalyptic number.

It is an amenable number.

2252126005081 is a deficient number, since it is larger than the sum of its proper divisors (1).

2252126005081 is an equidigital number, since it uses as much as digits as its factorization.

2252126005081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 19200, while the sum is 34.

The spelling of 2252126005081 in words is "two trillion, two hundred fifty-two billion, one hundred twenty-six million, five thousand, eighty-one".