13500210753 has 24 divisors (see below), whose sum is σ = 20173758696. Its totient is φ = 8693664000.

The previous prime is 13500210751. The next prime is 13500210767. The reversal of 13500210753 is 35701200531.

13500210753 is a `hidden beast` number, since 1 + 3 + 500 + 2 + 107 + 53 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3000519729 + 10499691024 = 54777^2 + 102468^2 .

It is not a de Polignac number, because 13500210753 - 2¹ = 13500210751 is a prime.

It is a super-3 number, since 3×13500210753³ (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (13500210751) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 143850 + ... + 218387.

It is an arithmetic number, because the mean of its divisors is an integer number (840573279).

Almost surely, 2^13500210753 is an apocalyptic number.

It is an amenable number.

13500210753 is a deficient number, since it is larger than the sum of its proper divisors (6673547943).

13500210753 is a wasteful number, since it uses less digits than its factorization.

13500210753 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362385 (or 362382 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The spelling of 13500210753 in words is "thirteen billion, five hundred million, two hundred ten thousand, seven hundred fifty-three".