13053953 has 8 divisors (see below), whose sum is σ = 14510016. Its totient is φ = 11642800.

The previous prime is 13053923. The next prime is 13053961. The reversal of 13053953 is 35935031.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13053953 - 2¹⁴ = 13037569 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13053923) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10613 + ... + 11778.

It is an arithmetic number, because the mean of its divisors is an integer number (1813752).

It is a Proth number, since it is equal to 3187 ⋅ 2¹² + 1 and 3187 < 2¹².

Almost surely, 2^13053953 is an apocalyptic number.

It is an amenable number.

13053953 is a deficient number, since it is larger than the sum of its proper divisors (1456063).

13053953 is a wasteful number, since it uses less digits than its factorization.

13053953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22455.

The product of its (nonzero) digits is 6075, while the sum is 29.

The square root of 13053953 is about 3613.0254635139. The cubic root of 13053953 is about 235.4583058550.

Adding to 13053953 its reverse (35935031), we get a palindrome (48988984).

The spelling of 13053953 in words is "thirteen million, fifty-three thousand, nine hundred fifty-three".