2187557040901 has 2 divisors, whose sum is σ = 2187557040902. Its totient is φ = 2187557040900.

The previous prime is 2187557040863. The next prime is 2187557040913. The reversal of 2187557040901 is 1090407557812.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2186819864100 + 737176801 = 1478790^2 + 27151^2 .

It is a cyclic number.

It is not a de Polignac number, because 2187557040901 - 2¹⁷ = 2187556909829 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2187557040931) 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, 1093778520450 + 1093778520451.

It is an arithmetic number, because the mean of its divisors is an integer number (1093778520451).

Almost surely, 2^{2187557040901} is an apocalyptic number.

It is an amenable number.

2187557040901 is a deficient number, since it is larger than the sum of its proper divisors (1).

2187557040901 is an equidigital number, since it uses as much as digits as its factorization.

2187557040901 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 705600, while the sum is 49.

The spelling of 2187557040901 in words is "two trillion, one hundred eighty-seven billion, five hundred fifty-seven million, forty thousand, nine hundred one".