21601677312953 has 2 divisors, whose sum is σ = 21601677312954. Its totient is φ = 21601677312952.

The previous prime is 21601677312949. The next prime is 21601677312973. The reversal of 21601677312953 is 35921377610612.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11374140718249 + 10227536594704 = 3372557^2 + 3198052^2 .

It is a cyclic number.

It is not a de Polignac number, because 21601677312953 - 2² = 21601677312949 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21601677312895 and 21601677312904.

It is not a weakly prime, because it can be changed into another prime (21601677312973) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10800838656476 + 10800838656477.

It is an arithmetic number, because the mean of its divisors is an integer number (10800838656477).

Almost surely, 2^{21601677312953} is an apocalyptic number.

It is an amenable number.

21601677312953 is a deficient number, since it is larger than the sum of its proper divisors (1).

21601677312953 is an equidigital number, since it uses as much as digits as its factorization.

21601677312953 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2857680, while the sum is 53.

The spelling of 21601677312953 in words is "twenty-one trillion, six hundred one billion, six hundred seventy-seven million, three hundred twelve thousand, nine hundred fifty-three".