2509650761 has 2 divisors, whose sum is σ = 2509650762. Its totient is φ = 2509650760.

The previous prime is 2509650743. The next prime is 2509650791. The reversal of 2509650761 is 1670569052.

2509650761 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., 1336999225 + 1172651536 = 36565^2 + 34244^2 .

It is a cyclic number.

It is not a de Polignac number, because 2509650761 - 2¹⁸ = 2509388617 is a prime.

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

It is not a weakly prime, because it can be changed into another prime (2509650791) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1254825380 + 1254825381.

It is an arithmetic number, because the mean of its divisors is an integer number (1254825381).

Almost surely, 2^2509650761 is an apocalyptic number.

It is an amenable number.

2509650761 is a deficient number, since it is larger than the sum of its proper divisors (1).

2509650761 is an equidigital number, since it uses as much as digits as its factorization.

2509650761 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 113400, while the sum is 41.

The square root of 2509650761 is about 50096.4146521485. The cubic root of 2509650761 is about 1358.9529789207.

It can be divided in two parts, 25096 and 50761, that added together give a palindrome (75857).

The spelling of 2509650761 in words is "two billion, five hundred nine million, six hundred fifty thousand, seven hundred sixty-one".