21612105123593 has 2 divisors, whose sum is σ = 21612105123594. Its totient is φ = 21612105123592.

The previous prime is 21612105123563. The next prime is 21612105123607. The reversal of 21612105123593 is 39532150121612.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18943838412304 + 2668266711289 = 4352452^2 + 1633483^2 .

It is a cyclic number.

It is not a de Polignac number, because 21612105123593 - 2³² = 21607810156297 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 21612105123593.

It is not a weakly prime, because it can be changed into another prime (21612105123533) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10806052561796 + 10806052561797.

It is an arithmetic number, because the mean of its divisors is an integer number (10806052561797).

Almost surely, 2^{21612105123593} is an apocalyptic number.

It is an amenable number.

21612105123593 is a deficient number, since it is larger than the sum of its proper divisors (1).

21612105123593 is an equidigital number, since it uses as much as digits as its factorization.

21612105123593 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 97200, while the sum is 41.

The spelling of 21612105123593 in words is "twenty-one trillion, six hundred twelve billion, one hundred five million, one hundred twenty-three thousand, five hundred ninety-three".