13502953 has 2 divisors, whose sum is σ = 13502954. Its totient is φ = 13502952.

The previous prime is 13502941. The next prime is 13502963. The reversal of 13502953 is 35920531.

13502953 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., 8363664 + 5139289 = 2892^2 + 2267^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13502953 is a prime.

It is not a weakly prime, because it can be changed into another prime (13502933) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6751476 + 6751477.

It is an arithmetic number, because the mean of its divisors is an integer number (6751477).

Almost surely, 2^13502953 is an apocalyptic number.

It is an amenable number.

13502953 is a deficient number, since it is larger than the sum of its proper divisors (1).

13502953 is an equidigital number, since it uses as much as digits as its factorization.

13502953 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4050, while the sum is 28.

The square root of 13502953 is about 3674.6364446024. The cubic root of 13502953 is about 238.1275179936.

Adding to 13502953 its product of nonzero digits (4050), we get a triangular number (13507003 = T₅₁₉₇).

The spelling of 13502953 in words is "thirteen million, five hundred two thousand, nine hundred fifty-three".