52105311649 has 2 divisors, whose sum is σ = 52105311650. Its totient is φ = 52105311648.

The previous prime is 52105311551. The next prime is 52105311667. The reversal of 52105311649 is 94611350125.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 45553218624 + 6552093025 = 213432^2 + 80945^2 .

It is a cyclic number.

It is not a de Polignac number, because 52105311649 - 2²¹ = 52103214497 is a prime.

It is not a weakly prime, because it can be changed into another prime (52105311149) 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, 26052655824 + 26052655825.

It is an arithmetic number, because the mean of its divisors is an integer number (26052655825).

Almost surely, 2^52105311649 is an apocalyptic number.

It is an amenable number.

52105311649 is a deficient number, since it is larger than the sum of its proper divisors (1).

52105311649 is an equidigital number, since it uses as much as digits as its factorization.

52105311649 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32400, while the sum is 37.

The spelling of 52105311649 in words is "fifty-two billion, one hundred five million, three hundred eleven thousand, six hundred forty-nine".