20829120577 has 2 divisors, whose sum is σ = 20829120578. Its totient is φ = 20829120576.

The previous prime is 20829120563. The next prime is 20829120581. The reversal of 20829120577 is 77502192802.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 17799829056 + 3029291521 = 133416^2 + 55039^2 .

It is a cyclic number.

It is not a de Polignac number, because 20829120577 - 2¹¹ = 20829118529 is a prime.

It is a super-2 number, since 2×20829120577² (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (20829120877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10414560288 + 10414560289.

It is an arithmetic number, because the mean of its divisors is an integer number (10414560289).

Almost surely, 2^20829120577 is an apocalyptic number.

It is an amenable number.

20829120577 is a deficient number, since it is larger than the sum of its proper divisors (1).

20829120577 is an equidigital number, since it uses as much as digits as its factorization.

20829120577 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 141120, while the sum is 43.

The spelling of 20829120577 in words is "twenty billion, eight hundred twenty-nine million, one hundred twenty thousand, five hundred seventy-seven".