2256129361 has 2 divisors, whose sum is σ = 2256129362. Its totient is φ = 2256129360.

The previous prime is 2256129319. The next prime is 2256129437. The reversal of 2256129361 is 1639216522.

2256129361 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1247431761 + 1008697600 = 35319^2 + 31760^2 .

It is a cyclic number.

It is not a de Polignac number, because 2256129361 - 2⁷ = 2256129233 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2256129361.

It is not a weakly prime, because it can be changed into another prime (2256129661) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1128064680 + 1128064681.

It is an arithmetic number, because the mean of its divisors is an integer number (1128064681).

Almost surely, 2^2256129361 is an apocalyptic number.

It is an amenable number.

2256129361 is a deficient number, since it is larger than the sum of its proper divisors (1).

2256129361 is an equidigital number, since it uses as much as digits as its factorization.

2256129361 is an evil number, because the sum of its binary digits is even.

The product of its digits is 38880, while the sum is 37.

The square root of 2256129361 is about 47498.7300988142. The cubic root of 2256129361 is about 1311.5595049295.

The spelling of 2256129361 in words is "two billion, two hundred fifty-six million, one hundred twenty-nine thousand, three hundred sixty-one".