983961820801 has 2 divisors, whose sum is σ = 983961820802. Its totient is φ = 983961820800.

The previous prime is 983961820789. The next prime is 983961820847. The reversal of 983961820801 is 108028169389.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 648147365776 + 335814455025 = 805076^2 + 579495^2 .

It is a cyclic number.

It is not a de Polignac number, because 983961820801 - 2¹⁷ = 983961689729 is a prime.

It is not a weakly prime, because it can be changed into another prime (983961820201) 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, 491980910400 + 491980910401.

It is an arithmetic number, because the mean of its divisors is an integer number (491980910401).

Almost surely, 2^983961820801 is an apocalyptic number.

It is an amenable number.

983961820801 is a deficient number, since it is larger than the sum of its proper divisors (1).

983961820801 is an equidigital number, since it uses as much as digits as its factorization.

983961820801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1492992, while the sum is 55.

The spelling of 983961820801 in words is "nine hundred eighty-three billion, nine hundred sixty-one million, eight hundred twenty thousand, eight hundred one".