10634662321 has 2 divisors, whose sum is σ = 10634662322. Its totient is φ = 10634662320.

The previous prime is 10634662319. The next prime is 10634662351. The reversal of 10634662321 is 12326643601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8024576400 + 2610085921 = 89580^2 + 51089^2 .

It is a cyclic number.

It is not a de Polignac number, because 10634662321 - 2¹ = 10634662319 is a prime.

It is a super-2 number, since 2×10634662321² (a number of 21 digits) contains 22 as substring.

Together with 10634662319, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (10634662351) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5317331160 + 5317331161.

It is an arithmetic number, because the mean of its divisors is an integer number (5317331161).

Almost surely, 2^10634662321 is an apocalyptic number.

It is an amenable number.

10634662321 is a deficient number, since it is larger than the sum of its proper divisors (1).

10634662321 is an equidigital number, since it uses as much as digits as its factorization.

10634662321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 31104, while the sum is 34.

The spelling of 10634662321 in words is "ten billion, six hundred thirty-four million, six hundred sixty-two thousand, three hundred twenty-one".