21476642301953 has 2 divisors, whose sum is σ = 21476642301954. Its totient is φ = 21476642301952.

The previous prime is 21476642301923. The next prime is 21476642301973. The reversal of 21476642301953 is 35910324667412.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12979137459649 + 8497504842304 = 3602657^2 + 2915048^2 .

It is a cyclic number.

It is not a de Polignac number, because 21476642301953 - 2⁶ = 21476642301889 is a prime.

It is a super-2 number, since 2×21476642301953² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21476642301895 and 21476642301904.

It is not a weakly prime, because it can be changed into another prime (21476642301923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10738321150976 + 10738321150977.

It is an arithmetic number, because the mean of its divisors is an integer number (10738321150977).

Almost surely, 2^{21476642301953} is an apocalyptic number.

It is an amenable number.

21476642301953 is a deficient number, since it is larger than the sum of its proper divisors (1).

21476642301953 is an equidigital number, since it uses as much as digits as its factorization.

21476642301953 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6531840, while the sum is 53.

The spelling of 21476642301953 in words is "twenty-one trillion, four hundred seventy-six billion, six hundred forty-two million, three hundred one thousand, nine hundred fifty-three".