13028953 has 12 divisors (see below), whose sum is σ = 16048692. Its totient is φ = 10510080.

The previous prime is 13028947. The next prime is 13028963. The reversal of 13028953 is 35982031.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 12054784 + 974169 = 3472^2 + 987^2 .

It is not a de Polignac number, because 13028953 - 2²¹ = 10931801 is a prime.

It is a Duffinian number.

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (13028933) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6988 + ... + 8653.

It is an arithmetic number, because the mean of its divisors is an integer number (1337391).

Almost surely, 2^13028953 is an apocalyptic number.

It is an amenable number.

13028953 is a deficient number, since it is larger than the sum of its proper divisors (3019739).

13028953 is a wasteful number, since it uses less digits than its factorization.

13028953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15672 (or 15665 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 13028953 is about 3609.5641011069. The cubic root of 13028953 is about 235.3078988117.

The spelling of 13028953 in words is "thirteen million, twenty-eight thousand, nine hundred fifty-three".