2459506216961 has 2 divisors, whose sum is σ = 2459506216962. Its totient is φ = 2459506216960.

The previous prime is 2459506216919. The next prime is 2459506216967. The reversal of 2459506216961 is 1696126059542.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2435609694736 + 23896522225 = 1560644^2 + 154585^2 .

It is a cyclic number.

It is not a de Polignac number, because 2459506216961 - 2¹⁰ = 2459506215937 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2459506216897 and 2459506216906.

It is not a weakly prime, because it can be changed into another prime (2459506216967) 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, 1229753108480 + 1229753108481.

It is an arithmetic number, because the mean of its divisors is an integer number (1229753108481).

Almost surely, 2^{2459506216961} is an apocalyptic number.

It is an amenable number.

2459506216961 is a deficient number, since it is larger than the sum of its proper divisors (1).

2459506216961 is an equidigital number, since it uses as much as digits as its factorization.

2459506216961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6998400, while the sum is 56.

The spelling of 2459506216961 in words is "two trillion, four hundred fifty-nine billion, five hundred six million, two hundred sixteen thousand, nine hundred sixty-one".