20577648097 has 2 divisors, whose sum is σ = 20577648098. Its totient is φ = 20577648096.

The previous prime is 20577648089. The next prime is 20577648101. The reversal of 20577648097 is 79084677502.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20528871841 + 48776256 = 143279^2 + 6984^2 .

It is a cyclic number.

It is not a de Polignac number, because 20577648097 - 2³ = 20577648089 is a prime.

It is not a weakly prime, because it can be changed into another prime (20577648067) 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, 10288824048 + 10288824049.

It is an arithmetic number, because the mean of its divisors is an integer number (10288824049).

Almost surely, 2^20577648097 is an apocalyptic number.

It is an amenable number.

20577648097 is a deficient number, since it is larger than the sum of its proper divisors (1).

20577648097 is an equidigital number, since it uses as much as digits as its factorization.

20577648097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5927040, while the sum is 55.

The spelling of 20577648097 in words is "twenty billion, five hundred seventy-seven million, six hundred forty-eight thousand, ninety-seven".