2506540997 has 2 divisors, whose sum is σ = 2506540998. Its totient is φ = 2506540996.

The previous prime is 2506540901. The next prime is 2506541077. The reversal of 2506540997 is 7990456052.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1523028676 + 983512321 = 39026^2 + 31361^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2506540997 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2506540297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1253270498 + 1253270499.

It is an arithmetic number, because the mean of its divisors is an integer number (1253270499).

Almost surely, 2^2506540997 is an apocalyptic number.

It is an amenable number.

2506540997 is a deficient number, since it is larger than the sum of its proper divisors (1).

2506540997 is an equidigital number, since it uses as much as digits as its factorization.

2506540997 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 680400, while the sum is 47.

The square root of 2506540997 is about 50065.3672412377. The cubic root of 2506540997 is about 1358.3914439800.

The spelling of 2506540997 in words is "two billion, five hundred six million, five hundred forty thousand, nine hundred ninety-seven".