1820100009953 has 2 divisors, whose sum is σ = 1820100009954. Its totient is φ = 1820100009952.

The previous prime is 1820100009919. The next prime is 1820100009971. The reversal of 1820100009953 is 3599000010281.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1753420892224 + 66679117729 = 1324168^2 + 258223^2 .

It is a cyclic number.

It is not a de Polignac number, because 1820100009953 - 2¹⁰ = 1820100008929 is a prime.

It is not a weakly prime, because it can be changed into another prime (1820100009053) 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, 910050004976 + 910050004977.

It is an arithmetic number, because the mean of its divisors is an integer number (910050004977).

Almost surely, 2^{1820100009953} is an apocalyptic number.

It is an amenable number.

1820100009953 is a deficient number, since it is larger than the sum of its proper divisors (1).

1820100009953 is an equidigital number, since it uses as much as digits as its factorization.

1820100009953 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 19440, while the sum is 38.

The spelling of 1820100009953 in words is "one trillion, eight hundred twenty billion, one hundred million, nine thousand, nine hundred fifty-three".