2263216512541 has 2 divisors, whose sum is σ = 2263216512542. Its totient is φ = 2263216512540.

The previous prime is 2263216512517. The next prime is 2263216512553. The reversal of 2263216512541 is 1452156123622.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1626326325625 + 636890186916 = 1275275^2 + 798054^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2263216512541 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2263216512494 and 2263216512503.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2263216512341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1131608256270 + 1131608256271.

It is an arithmetic number, because the mean of its divisors is an integer number (1131608256271).

Almost surely, 2^{2263216512541} is an apocalyptic number.

It is an amenable number.

2263216512541 is a deficient number, since it is larger than the sum of its proper divisors (1).

2263216512541 is an equidigital number, since it uses as much as digits as its factorization.

2263216512541 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 172800, while the sum is 40.

The spelling of 2263216512541 in words is "two trillion, two hundred sixty-three billion, two hundred sixteen million, five hundred twelve thousand, five hundred forty-one".