2263216512517 has 2 divisors, whose sum is σ = 2263216512518. Its totient is φ = 2263216512516.

The previous prime is 2263216512449. The next prime is 2263216512541. The reversal of 2263216512517 is 7152156123622.

2263216512517 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1876464365281 + 386752147236 = 1369841^2 + 621894^2 .

It is a cyclic number.

It is not a de Polignac number, because 2263216512517 - 2²³ = 2263208123909 is a prime.

It is a super-2 number, since 2×2263216512517² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2263216512577) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1131608256258 + 1131608256259.

It is an arithmetic number, because the mean of its divisors is an integer number (1131608256259).

Almost surely, 2^{2263216512517} is an apocalyptic number.

It is an amenable number.

2263216512517 is a deficient number, since it is larger than the sum of its proper divisors (1).

2263216512517 is an equidigital number, since it uses as much as digits as its factorization.

2263216512517 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 302400, while the sum is 43.

The spelling of 2263216512517 in words is "two trillion, two hundred sixty-three billion, two hundred sixteen million, five hundred twelve thousand, five hundred seventeen".