2509981361 has 2 divisors, whose sum is σ = 2509981362. Its totient is φ = 2509981360.

The previous prime is 2509981307. The next prime is 2509981381. The reversal of 2509981361 is 1631899052.

It is a happy number.

2509981361 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., 2056078336 + 453903025 = 45344^2 + 21305^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2509981361 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (2509981381) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1254990680 + 1254990681.

It is an arithmetic number, because the mean of its divisors is an integer number (1254990681).

Almost surely, 2^2509981361 is an apocalyptic number.

It is an amenable number.

2509981361 is a deficient number, since it is larger than the sum of its proper divisors (1).

2509981361 is an equidigital number, since it uses as much as digits as its factorization.

2509981361 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 116640, while the sum is 44.

The square root of 2509981361 is about 50099.7141808214. The cubic root of 2509981361 is about 1359.0126485947.

The spelling of 2509981361 in words is "two billion, five hundred nine million, nine hundred eighty-one thousand, three hundred sixty-one".