10505646337 has 2 divisors, whose sum is σ = 10505646338. Its totient is φ = 10505646336.

The previous prime is 10505646331. The next prime is 10505646413. The reversal of 10505646337 is 73364650501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9993800961 + 511845376 = 99969^2 + 22624^2 .

It is a cyclic number.

It is not a de Polignac number, because 10505646337 - 2³ = 10505646329 is a prime.

It is a super-2 number, since 2×10505646337² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10505646337.

It is not a weakly prime, because it can be changed into another prime (10505646331) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5252823168 + 5252823169.

It is an arithmetic number, because the mean of its divisors is an integer number (5252823169).

Almost surely, 2^10505646337 is an apocalyptic number.

It is an amenable number.

10505646337 is a deficient number, since it is larger than the sum of its proper divisors (1).

10505646337 is an equidigital number, since it uses as much as digits as its factorization.

10505646337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 226800, while the sum is 40.

The spelling of 10505646337 in words is "ten billion, five hundred five million, six hundred forty-six thousand, three hundred thirty-seven".