10075766513 has 2 divisors, whose sum is σ = 10075766514. Its totient is φ = 10075766512.

The previous prime is 10075766479. The next prime is 10075766593. The reversal of 10075766513 is 31566757001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6701550769 + 3374215744 = 81863^2 + 58088^2 .

It is a cyclic number.

It is not a de Polignac number, because 10075766513 - 2²⁰ = 10074717937 is a prime.

It is not a weakly prime, because it can be changed into another prime (10075766593) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5037883256 + 5037883257.

It is an arithmetic number, because the mean of its divisors is an integer number (5037883257).

Almost surely, 2^10075766513 is an apocalyptic number.

It is an amenable number.

10075766513 is a deficient number, since it is larger than the sum of its proper divisors (1).

10075766513 is an equidigital number, since it uses as much as digits as its factorization.

10075766513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 132300, while the sum is 41.

The spelling of 10075766513 in words is "ten billion, seventy-five million, seven hundred sixty-six thousand, five hundred thirteen".