10007626455713 has 2 divisors, whose sum is σ = 10007626455714. Its totient is φ = 10007626455712.

The previous prime is 10007626455647. The next prime is 10007626455727. The reversal of 10007626455713 is 31755462670001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7219818528784 + 2787807926929 = 2686972^2 + 1669673^2 .

It is a cyclic number.

It is not a de Polignac number, because 10007626455713 - 2¹⁰ = 10007626454689 is a prime.

It is not a weakly prime, because it can be changed into another prime (10007626455773) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5003813227856 + 5003813227857.

It is an arithmetic number, because the mean of its divisors is an integer number (5003813227857).

Almost surely, 2^{10007626455713} is an apocalyptic number.

It is an amenable number.

10007626455713 is a deficient number, since it is larger than the sum of its proper divisors (1).

10007626455713 is an equidigital number, since it uses as much as digits as its factorization.

10007626455713 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1058400, while the sum is 47.

The spelling of 10007626455713 in words is "ten trillion, seven billion, six hundred twenty-six million, four hundred fifty-five thousand, seven hundred thirteen".