133033627753 has 8 divisors (see below), whose sum is σ = 143672844168. Its totient is φ = 122452391424.

The previous prime is 133033627697. The next prime is 133033627759. The reversal of 133033627753 is 357726330331.

It can be written as a sum of positive squares in 4 ways, for example, as 7907299929 + 125126327824 = 88923^2 + 353732^2 .

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 133033627753 - 2³³ = 124443693161 is a prime.

It is a super-2 number, since 2×133033627753² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (133033627759) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14490250 + ... + 14499427.

It is an arithmetic number, because the mean of its divisors is an integer number (17959105521).

Almost surely, 2^133033627753 is an apocalyptic number.

133033627753 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

133033627753 is a deficient number, since it is larger than the sum of its proper divisors (10639216415).

133033627753 is a wasteful number, since it uses less digits than its factorization.

133033627753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28990043.

The product of its (nonzero) digits is 714420, while the sum is 43.

The spelling of 133033627753 in words is "one hundred thirty-three billion, thirty-three million, six hundred twenty-seven thousand, seven hundred fifty-three".