13053753 has 12 divisors (see below), whose sum is σ = 18907668. Its totient is φ = 8678400.

The previous prime is 13053749. The next prime is 13053791. The reversal of 13053753 is 35735031.

It can be written as a sum of positive squares in 2 ways, for example, as 6335289 + 6718464 = 2517^2 + 2592^2 .

It is not a de Polignac number, because 13053753 - 2² = 13053749 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13053713) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1801 + ... + 5417.

It is an arithmetic number, because the mean of its divisors is an integer number (1575639).

Almost surely, 2^13053753 is an apocalyptic number.

It is an amenable number.

13053753 is a deficient number, since it is larger than the sum of its proper divisors (5853915).

13053753 is a wasteful number, since it uses less digits than its factorization.

13053753 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4024 (or 4021 counting only the distinct ones).

The product of its (nonzero) digits is 4725, while the sum is 27.

The square root of 13053753 is about 3612.9977857729. The cubic root of 13053753 is about 235.4571033610.

Adding to 13053753 its reverse (35735031), we get a palindrome (48788784).

The spelling of 13053753 in words is "thirteen million, fifty-three thousand, seven hundred fifty-three".