21354617106577 has 2 divisors, whose sum is σ = 21354617106578. Its totient is φ = 21354617106576.

The previous prime is 21354617106503. The next prime is 21354617106583. The reversal of 21354617106577 is 77560171645312.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20418839475841 + 935777630736 = 4518721^2 + 967356^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-21354617106577 is a prime.

It is a super-2 number, since 2×21354617106577² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (21354617104577) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10677308553288 + 10677308553289.

It is an arithmetic number, because the mean of its divisors is an integer number (10677308553289).

Almost surely, 2^{21354617106577} is an apocalyptic number.

It is an amenable number.

21354617106577 is a deficient number, since it is larger than the sum of its proper divisors (1).

21354617106577 is an equidigital number, since it uses as much as digits as its factorization.

21354617106577 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7408800, while the sum is 55.

The spelling of 21354617106577 in words is "twenty-one trillion, three hundred fifty-four billion, six hundred seventeen million, one hundred six thousand, five hundred seventy-seven".