21140520946009 has 2 divisors, whose sum is σ = 21140520946010. Its totient is φ = 21140520946008.

The previous prime is 21140520945959. The next prime is 21140520946031. The reversal of 21140520946009 is 90064902504112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 14381326921984 + 6759194024025 = 3792272^2 + 2599845^2 .

It is a cyclic number.

It is not a de Polignac number, because 21140520946009 - 2⁷ = 21140520945881 is a prime.

It is not a weakly prime, because it can be changed into another prime (21140520946049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10570260473004 + 10570260473005.

It is an arithmetic number, because the mean of its divisors is an integer number (10570260473005).

Almost surely, 2^{21140520946009} is an apocalyptic number.

It is an amenable number.

21140520946009 is a deficient number, since it is larger than the sum of its proper divisors (1).

21140520946009 is an equidigital number, since it uses as much as digits as its factorization.

21140520946009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 155520, while the sum is 43.

The spelling of 21140520946009 in words is "twenty-one trillion, one hundred forty billion, five hundred twenty million, nine hundred forty-six thousand, nine".