10337972657 has 2 divisors, whose sum is σ = 10337972658. Its totient is φ = 10337972656.

The previous prime is 10337972653. The next prime is 10337972719. The reversal of 10337972657 is 75627973301.

10337972657 is digitally balanced in base 3, 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., 8339525041 + 1998447616 = 91321^2 + 44704^2 .

It is a cyclic number.

It is not a de Polignac number, because 10337972657 - 2² = 10337972653 is a prime.

It is not a weakly prime, because it can be changed into another prime (10337972653) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5168986328 + 5168986329.

It is an arithmetic number, because the mean of its divisors is an integer number (5168986329).

Almost surely, 2^10337972657 is an apocalyptic number.

It is an amenable number.

10337972657 is a deficient number, since it is larger than the sum of its proper divisors (1).

10337972657 is an equidigital number, since it uses as much as digits as its factorization.

10337972657 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1666980, while the sum is 50.

The spelling of 10337972657 in words is "ten billion, three hundred thirty-seven million, nine hundred seventy-two thousand, six hundred fifty-seven".