977599008641 has 2 divisors, whose sum is σ = 977599008642. Its totient is φ = 977599008640.

The previous prime is 977599008637. The next prime is 977599008643. The reversal of 977599008641 is 146800995779.

977599008641 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 923384543041 + 54214465600 = 960929^2 + 232840^2 .

It is a cyclic number.

It is not a de Polignac number, because 977599008641 - 2² = 977599008637 is a prime.

Together with 977599008643, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (977599008643) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 488799504320 + 488799504321.

It is an arithmetic number, because the mean of its divisors is an integer number (488799504321).

Almost surely, 2^977599008641 is an apocalyptic number.

It is an amenable number.

977599008641 is a deficient number, since it is larger than the sum of its proper divisors (1).

977599008641 is an equidigital number, since it uses as much as digits as its factorization.

977599008641 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 34292160, while the sum is 65.

The spelling of 977599008641 in words is "nine hundred seventy-seven billion, five hundred ninety-nine million, eight thousand, six hundred forty-one".