1025256137 has 2 divisors, whose sum is σ = 1025256138. Its totient is φ = 1025256136.

The previous prime is 1025256107. The next prime is 1025256139. The reversal of 1025256137 is 7316525201.

1025256137 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., 1014040336 + 11215801 = 31844^2 + 3349^2 .

It is a cyclic number.

It is not a de Polignac number, because 1025256137 - 2²⁶ = 958147273 is a prime.

Together with 1025256139, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (1025256139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 512628068 + 512628069.

It is an arithmetic number, because the mean of its divisors is an integer number (512628069).

Almost surely, 2^1025256137 is an apocalyptic number.

It is an amenable number.

1025256137 is a deficient number, since it is larger than the sum of its proper divisors (1).

1025256137 is an equidigital number, since it uses as much as digits as its factorization.

1025256137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12600, while the sum is 32.

The square root of 1025256137 is about 32019.6211251789. The cubic root of 1025256137 is about 1008.3488156325.

The spelling of 1025256137 in words is "one billion, twenty-five million, two hundred fifty-six thousand, one hundred thirty-seven".