2506323645121 has 2 divisors, whose sum is σ = 2506323645122. Its totient is φ = 2506323645120.

The previous prime is 2506323645097. The next prime is 2506323645139. The reversal of 2506323645121 is 1215463236052.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2506012475521 + 311169600 = 1583039^2 + 17640^2 .

It is a cyclic number.

It is not a de Polignac number, because 2506323645121 - 2²³ = 2506315256513 is a prime.

It is not a weakly prime, because it can be changed into another prime (2506323645151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1253161822560 + 1253161822561.

It is an arithmetic number, because the mean of its divisors is an integer number (1253161822561).

Almost surely, 2^{2506323645121} is an apocalyptic number.

It is an amenable number.

2506323645121 is a deficient number, since it is larger than the sum of its proper divisors (1).

2506323645121 is an equidigital number, since it uses as much as digits as its factorization.

2506323645121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 259200, while the sum is 40.

The spelling of 2506323645121 in words is "two trillion, five hundred six billion, three hundred twenty-three million, six hundred forty-five thousand, one hundred twenty-one".