19182009091001 has 2 divisors, whose sum is σ = 19182009091002. Its totient is φ = 19182009091000.

The previous prime is 19182009090973. The next prime is 19182009091009. The reversal of 19182009091001 is 10019090028191.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12055138146601 + 7126870944400 = 3472051^2 + 2669620^2 .

It is a cyclic number.

It is not a de Polignac number, because 19182009091001 - 2¹⁴ = 19182009074617 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 19182009091001.

It is not a weakly prime, because it can be changed into another prime (19182009091009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 9591004545500 + 9591004545501.

It is an arithmetic number, because the mean of its divisors is an integer number (9591004545501).

Almost surely, 2^{19182009091001} is an apocalyptic number.

It is an amenable number.

19182009091001 is a deficient number, since it is larger than the sum of its proper divisors (1).

19182009091001 is an equidigital number, since it uses as much as digits as its factorization.

19182009091001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11664, while the sum is 41.

The spelling of 19182009091001 in words is "nineteen trillion, one hundred eighty-two billion, nine million, ninety-one thousand, one".