10072938353 has 2 divisors, whose sum is σ = 10072938354. Its totient is φ = 10072938352.

The previous prime is 10072938319. The next prime is 10072938367. The reversal of 10072938353 is 35383927001.

10072938353 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., 8413842529 + 1659095824 = 91727^2 + 40732^2 .

It is an emirp because it is prime and its reverse (35383927001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10072938353 - 2¹² = 10072934257 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10072938353.

It is not a weakly prime, because it can be changed into another prime (10072938313) 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, 5036469176 + 5036469177.

It is an arithmetic number, because the mean of its divisors is an integer number (5036469177).

Almost surely, 2^10072938353 is an apocalyptic number.

It is an amenable number.

10072938353 is a deficient number, since it is larger than the sum of its proper divisors (1).

10072938353 is an equidigital number, since it uses as much as digits as its factorization.

10072938353 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 136080, while the sum is 41.

The spelling of 10072938353 in words is "ten billion, seventy-two million, nine hundred thirty-eight thousand, three hundred fifty-three".