2506801961 has 2 divisors, whose sum is σ = 2506801962. Its totient is φ = 2506801960.

The previous prime is 2506801933. The next prime is 2506801967. The reversal of 2506801961 is 1691086052.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2146561561 + 360240400 = 46331^2 + 18980^2 .

It is a cyclic number.

It is not a de Polignac number, because 2506801961 - 2¹⁸ = 2506539817 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 (2506801967) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1253400980 + 1253400981.

It is an arithmetic number, because the mean of its divisors is an integer number (1253400981).

Almost surely, 2^2506801961 is an apocalyptic number.

It is an amenable number.

2506801961 is a deficient number, since it is larger than the sum of its proper divisors (1).

2506801961 is an equidigital number, since it uses as much as digits as its factorization.

2506801961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 25920, while the sum is 38.

The square root of 2506801961 is about 50067.9734061605. The cubic root of 2506801961 is about 1358.4385845033.

The spelling of 2506801961 in words is "two billion, five hundred six million, eight hundred one thousand, nine hundred sixty-one".