20584005121 has 2 divisors, whose sum is σ = 20584005122. Its totient is φ = 20584005120.

The previous prime is 20584005107. The next prime is 20584005151. The reversal of 20584005121 is 12150048502.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 19478110096 + 1105895025 = 139564^2 + 33255^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-20584005121 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 20584005121.

It is not a weakly prime, because it can be changed into another prime (20584005151) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10292002560 + 10292002561.

It is an arithmetic number, because the mean of its divisors is an integer number (10292002561).

Almost surely, 2^20584005121 is an apocalyptic number.

It is an amenable number.

20584005121 is a deficient number, since it is larger than the sum of its proper divisors (1).

20584005121 is an equidigital number, since it uses as much as digits as its factorization.

20584005121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3200, while the sum is 28.

The spelling of 20584005121 in words is "twenty billion, five hundred eighty-four million, five thousand, one hundred twenty-one".