10638517801 has 2 divisors, whose sum is σ = 10638517802. Its totient is φ = 10638517800.

The previous prime is 10638517787. The next prime is 10638517807. The reversal of 10638517801 is 10871583601.

10638517801 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8604417600 + 2034100201 = 92760^2 + 45101^2 .

It is a cyclic number.

It is not a de Polignac number, because 10638517801 - 2⁹ = 10638517289 is a prime.

It is a super-2 number, since 2×10638517801² (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10638517807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5319258900 + 5319258901.

It is an arithmetic number, because the mean of its divisors is an integer number (5319258901).

Almost surely, 2^10638517801 is an apocalyptic number.

It is an amenable number.

10638517801 is a deficient number, since it is larger than the sum of its proper divisors (1).

10638517801 is an equidigital number, since it uses as much as digits as its factorization.

10638517801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 40320, while the sum is 40.

The spelling of 10638517801 in words is "ten billion, six hundred thirty-eight million, five hundred seventeen thousand, eight hundred one".