13527740753 has 8 divisors (see below), whose sum is σ = 13604345448. Its totient is φ = 13451203584.

The previous prime is 13527740749. The next prime is 13527740773. The reversal of 13527740753 is 35704772531.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 6916749889 + 6610990864 = 83167^2 + 81308^2 .

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 13527740753 - 2² = 13527740749 is a prime.

It is a super-3 number, since 3×13527740753³ (a number of 31 digits) contains 333 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13527740713) 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, 416075 + ... + 447407.

It is an arithmetic number, because the mean of its divisors is an integer number (1700543181).

Almost surely, 2^13527740753 is an apocalyptic number.

It is an amenable number.

13527740753 is a deficient number, since it is larger than the sum of its proper divisors (76604695).

13527740753 is a wasteful number, since it uses less digits than its factorization.

13527740753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33763.

The product of its (nonzero) digits is 617400, while the sum is 44.

The spelling of 13527740753 in words is "thirteen billion, five hundred twenty-seven million, seven hundred forty thousand, seven hundred fifty-three".