10634137001 has 2 divisors, whose sum is σ = 10634137002. Its totient is φ = 10634137000.

The previous prime is 10634136977. The next prime is 10634137043. The reversal of 10634137001 is 10073143601.

10634137001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10343093401 + 291043600 = 101701^2 + 17060^2 .

It is a cyclic number.

It is not a de Polignac number, because 10634137001 - 2¹⁸ = 10633874857 is a prime.

It is a super-2 number, since 2×10634137001² (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10634137061) 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, 5317068500 + 5317068501.

It is an arithmetic number, because the mean of its divisors is an integer number (5317068501).

Almost surely, 2^10634137001 is an apocalyptic number.

It is an amenable number.

10634137001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10634137001 is an equidigital number, since it uses as much as digits as its factorization.

10634137001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1512, while the sum is 26.

The spelling of 10634137001 in words is "ten billion, six hundred thirty-four million, one hundred thirty-seven thousand, one".