13005953 has 4 divisors (see below), whose sum is σ = 13037268. Its totient is φ = 12974640.

The previous prime is 13005931. The next prime is 13005997. The reversal of 13005953 is 35950031.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 35950031 = 13 ⋅2765387.

It can be written as a sum of positive squares in 2 ways, for example, as 1669264 + 11336689 = 1292^2 + 3367^2 .

It is a cyclic number.

It is not a de Polignac number, because 13005953 - 2²⁰ = 11957377 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13005053) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15026 + ... + 15867.

It is an arithmetic number, because the mean of its divisors is an integer number (3259317).

Almost surely, 2^13005953 is an apocalyptic number.

It is an amenable number.

13005953 is a deficient number, since it is larger than the sum of its proper divisors (31315).

13005953 is an equidigital number, since it uses as much as digits as its factorization.

13005953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31314.

The product of its (nonzero) digits is 2025, while the sum is 26.

The square root of 13005953 is about 3606.3767135451. The cubic root of 13005953 is about 235.1693543089.

Adding to 13005953 its reverse (35950031), we get a palindrome (48955984).

The spelling of 13005953 in words is "thirteen million, five thousand, nine hundred fifty-three".