10588613521649 has 2 divisors, whose sum is σ = 10588613521650. Its totient is φ = 10588613521648.

The previous prime is 10588613521631. The next prime is 10588613521757. The reversal of 10588613521649 is 94612531688501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7182400000000 + 3406213521649 = 2680000^2 + 1845593^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10588613521649 is a prime.

It is a super-2 number, since 2×10588613521649² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10588613521349) 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, 5294306760824 + 5294306760825.

It is an arithmetic number, because the mean of its divisors is an integer number (5294306760825).

Almost surely, 2^{10588613521649} is an apocalyptic number.

It is an amenable number.

10588613521649 is a deficient number, since it is larger than the sum of its proper divisors (1).

10588613521649 is an equidigital number, since it uses as much as digits as its factorization.

10588613521649 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12441600, while the sum is 59.

The spelling of 10588613521649 in words is "ten trillion, five hundred eighty-eight billion, six hundred thirteen million, five hundred twenty-one thousand, six hundred forty-nine".