2001901892897 has 2 divisors, whose sum is σ = 2001901892898. Its totient is φ = 2001901892896.

The previous prime is 2001901892857. The next prime is 2001901892929. The reversal of 2001901892897 is 7982981091002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1405151822881 + 596750070016 = 1185391^2 + 772496^2 .

It is a cyclic number.

It is not a de Polignac number, because 2001901892897 - 2¹² = 2001901888801 is a prime.

It is a super-2 number, since 2×2001901892897² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2001901892857) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1000950946448 + 1000950946449.

It is an arithmetic number, because the mean of its divisors is an integer number (1000950946449).

Almost surely, 2^{2001901892897} is an apocalyptic number.

It is an amenable number.

2001901892897 is a deficient number, since it is larger than the sum of its proper divisors (1).

2001901892897 is an equidigital number, since it uses as much as digits as its factorization.

2001901892897 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1306368, while the sum is 56.

The spelling of 2001901892897 in words is "two trillion, one billion, nine hundred one million, eight hundred ninety-two thousand, eight hundred ninety-seven".