10337504953 has 2 divisors, whose sum is σ = 10337504954. Its totient is φ = 10337504952.

The previous prime is 10337504917. The next prime is 10337504963. The reversal of 10337504953 is 35940573301.

10337504953 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., 9318427024 + 1019077929 = 96532^2 + 31923^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10337504953 is a prime.

It is not a weakly prime, because it can be changed into another prime (10337504963) 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, 5168752476 + 5168752477.

It is an arithmetic number, because the mean of its divisors is an integer number (5168752477).

Almost surely, 2^10337504953 is an apocalyptic number.

It is an amenable number.

10337504953 is a deficient number, since it is larger than the sum of its proper divisors (1).

10337504953 is an equidigital number, since it uses as much as digits as its factorization.

10337504953 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 170100, while the sum is 40.

The spelling of 10337504953 in words is "ten billion, three hundred thirty-seven million, five hundred four thousand, nine hundred fifty-three".