21753467074817 has 2 divisors, whose sum is σ = 21753467074818. Its totient is φ = 21753467074816.

The previous prime is 21753467074793. The next prime is 21753467074847. The reversal of 21753467074817 is 71847076435712.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 21602407369921 + 151059704896 = 4647839^2 + 388664^2 .

It is a cyclic number.

It is not a de Polignac number, because 21753467074817 - 2¹⁸ = 21753466812673 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 21753467074817.

It is not a weakly prime, because it can be changed into another prime (21753467074847) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10876733537408 + 10876733537409.

It is an arithmetic number, because the mean of its divisors is an integer number (10876733537409).

Almost surely, 2^{21753467074817} is an apocalyptic number.

It is an amenable number.

21753467074817 is a deficient number, since it is larger than the sum of its proper divisors (1).

21753467074817 is an equidigital number, since it uses as much as digits as its factorization.

21753467074817 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 55319040, while the sum is 62.

The spelling of 21753467074817 in words is "twenty-one trillion, seven hundred fifty-three billion, four hundred sixty-seven million, seventy-four thousand, eight hundred seventeen".