2509416781 has 2 divisors, whose sum is σ = 2509416782. Its totient is φ = 2509416780.

The previous prime is 2509416739. The next prime is 2509416853. The reversal of 2509416781 is 1876149052.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2384759556 + 124657225 = 48834^2 + 11165^2 .

It is a cyclic number.

It is not a de Polignac number, because 2509416781 - 2⁹ = 2509416269 is a prime.

It is a super-2 number, since 2×2509416781² = 12594345161528803922, which contains 22 as substring.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2509411781) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1254708390 + 1254708391.

It is an arithmetic number, because the mean of its divisors is an integer number (1254708391).

Almost surely, 2^2509416781 is an apocalyptic number.

It is an amenable number.

2509416781 is a deficient number, since it is larger than the sum of its proper divisors (1).

2509416781 is an equidigital number, since it uses as much as digits as its factorization.

2509416781 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 120960, while the sum is 43.

The square root of 2509416781 is about 50094.0793008515. The cubic root of 2509416781 is about 1358.9107449300.

The spelling of 2509416781 in words is "two billion, five hundred nine million, four hundred sixteen thousand, seven hundred eighty-one".