10649504552513 has 2 divisors, whose sum is σ = 10649504552514. Its totient is φ = 10649504552512.

The previous prime is 10649504552503. The next prime is 10649504552567. The reversal of 10649504552513 is 31525540594601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9796849920064 + 852654632449 = 3129992^2 + 923393^2 .

It is a cyclic number.

It is not a de Polignac number, because 10649504552513 - 2³⁸ = 10374626645569 is a prime.

It is a super-2 number, since 2×10649504552513² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10649504552503) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5324752276256 + 5324752276257.

It is an arithmetic number, because the mean of its divisors is an integer number (5324752276257).

Almost surely, 2^{10649504552513} is an apocalyptic number.

It is an amenable number.

10649504552513 is a deficient number, since it is larger than the sum of its proper divisors (1).

10649504552513 is an equidigital number, since it uses as much as digits as its factorization.

10649504552513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3240000, while the sum is 50.

The spelling of 10649504552513 in words is "ten trillion, six hundred forty-nine billion, five hundred four million, five hundred fifty-two thousand, five hundred thirteen".