2538072133 has 2 divisors, whose sum is σ = 2538072134. Its totient is φ = 2538072132.

The previous prime is 2538072071. The next prime is 2538072139. The reversal of 2538072133 is 3312708352.

2538072133 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., 1923875044 + 614197089 = 43862^2 + 24783^2 .

It is a cyclic number.

It is not a de Polignac number, because 2538072133 - 2⁹ = 2538071621 is a prime.

It is a super-2 number, since 2×2538072133² = 12883620304622339378, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2538072139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1269036066 + 1269036067.

It is an arithmetic number, because the mean of its divisors is an integer number (1269036067).

Almost surely, 2^2538072133 is an apocalyptic number.

It is an amenable number.

2538072133 is a deficient number, since it is larger than the sum of its proper divisors (1).

2538072133 is an equidigital number, since it uses as much as digits as its factorization.

2538072133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 30240, while the sum is 34.

The square root of 2538072133 is about 50379.2827757601. The cubic root of 2538072133 is about 1364.0637056628.

The spelling of 2538072133 in words is "two billion, five hundred thirty-eight million, seventy-two thousand, one hundred thirty-three".