2001000000977 has 2 divisors, whose sum is σ = 2001000000978. Its totient is φ = 2001000000976.

The previous prime is 2001000000973. The next prime is 2001000001027. The reversal of 2001000000977 is 7790000001002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1555148667136 + 445851333841 = 1247056^2 + 667721^2 .

It is a cyclic number.

It is not a de Polignac number, because 2001000000977 - 2² = 2001000000973 is a prime.

It is not a weakly prime, because it can be changed into another prime (2001000000973) 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, 1000500000488 + 1000500000489.

It is an arithmetic number, because the mean of its divisors is an integer number (1000500000489).

Almost surely, 2^{2001000000977} is an apocalyptic number.

It is an amenable number.

2001000000977 is a deficient number, since it is larger than the sum of its proper divisors (1).

2001000000977 is an equidigital number, since it uses as much as digits as its factorization.

2001000000977 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 882, while the sum is 26.

Adding to 2001000000977 its reverse (7790000001002), we get a palindrome (9791000001979).

The spelling of 2001000000977 in words is "two trillion, one billion, nine hundred seventy-seven", and thus it is an aban number.