2506755497 has 2 divisors, whose sum is σ = 2506755498. Its totient is φ = 2506755496.

The previous prime is 2506755473. The next prime is 2506755521. The reversal of 2506755497 is 7945576052.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (2506755473) and next prime (2506755521).

It can be written as a sum of positive squares in only one way, i.e., 2328159001 + 178596496 = 48251^2 + 13364^2 .

It is a cyclic number.

It is not a de Polignac number, because 2506755497 - 2¹⁴ = 2506739113 is a prime.

It is not a weakly prime, because it can be changed into another prime (2506755397) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1253377748 + 1253377749.

It is an arithmetic number, because the mean of its divisors is an integer number (1253377749).

Almost surely, 2^2506755497 is an apocalyptic number.

It is an amenable number.

2506755497 is a deficient number, since it is larger than the sum of its proper divisors (1).

2506755497 is an equidigital number, since it uses as much as digits as its factorization.

2506755497 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2646000, while the sum is 50.

The square root of 2506755497 is about 50067.5093948161. The cubic root of 2506755497 is about 1358.4301914882.

The spelling of 2506755497 in words is "two billion, five hundred six million, seven hundred fifty-five thousand, four hundred ninety-seven".