10013953 has 2 divisors, whose sum is σ = 10013954. Its totient is φ = 10013952.

The previous prime is 10013951. The next prime is 10013957. The reversal of 10013953 is 35931001.

10013953 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., 7772944 + 2241009 = 2788^2 + 1497^2 .

It is an emirp because it is prime and its reverse (35931001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10013953 - 2¹ = 10013951 is a prime.

Together with 10013951, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (10013951) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5006976 + 5006977.

It is an arithmetic number, because the mean of its divisors is an integer number (5006977).

Almost surely, 2^10013953 is an apocalyptic number.

It is an amenable number.

10013953 is a deficient number, since it is larger than the sum of its proper divisors (1).

10013953 is an equidigital number, since it uses as much as digits as its factorization.

10013953 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 405, while the sum is 22.

The square root of 10013953 is about 3164.4830541496. The cubic root of 10013953 is about 215.5436251924.

Adding to 10013953 its reverse (35931001), we get a palindrome (45944954).

The spelling of 10013953 in words is "ten million, thirteen thousand, nine hundred fifty-three".