1801011009961 has 2 divisors, whose sum is σ = 1801011009962. Its totient is φ = 1801011009960.

The previous prime is 1801011009899. The next prime is 1801011010031. The reversal of 1801011009961 is 1699001101081.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1780316461225 + 20694548736 = 1334285^2 + 143856^2 .

It is a cyclic number.

It is not a de Polignac number, because 1801011009961 - 2¹⁵ = 1801010977193 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1801011009961.

It is not a weakly prime, because it can be changed into another prime (1801011009461) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 900505504980 + 900505504981.

It is an arithmetic number, because the mean of its divisors is an integer number (900505504981).

Almost surely, 2^{1801011009961} is an apocalyptic number.

It is an amenable number.

1801011009961 is a deficient number, since it is larger than the sum of its proper divisors (1).

1801011009961 is an equidigital number, since it uses as much as digits as its factorization.

1801011009961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 37.

The spelling of 1801011009961 in words is "one trillion, eight hundred one billion, eleven million, nine thousand, nine hundred sixty-one".