1781015040001 has 2 divisors, whose sum is σ = 1781015040002. Its totient is φ = 1781015040000.

The previous prime is 1781015039971. The next prime is 1781015040011. The reversal of 1781015040001 is 1000405101871.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1100264634225 + 680750405776 = 1048935^2 + 825076^2 .

It is a cyclic number.

It is not a de Polignac number, because 1781015040001 - 2³¹ = 1778867556353 is a prime.

It is not a weakly prime, because it can be changed into another prime (1781015040011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 890507520000 + 890507520001.

It is an arithmetic number, because the mean of its divisors is an integer number (890507520001).

Almost surely, 2^{1781015040001} is an apocalyptic number.

It is an amenable number.

1781015040001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1781015040001 is an equidigital number, since it uses as much as digits as its factorization.

1781015040001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1120, while the sum is 28.

The spelling of 1781015040001 in words is "one trillion, seven hundred eighty-one billion, fifteen million, forty thousand, one".