53135653554101 has 8 divisors (see below), whose sum is σ = 56262071026584. Its totient is φ = 50009323947520.

The previous prime is 53135653554047. The next prime is 53135653554119. The reversal of 53135653554101 is 10145535653135.

53135653554101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 24778005018001 + 28357648536100 = 4977751^2 + 5325190^2 .

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 53135653554101 - 2¹⁴ = 53135653537717 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53135653554131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20719400 + ... + 23142273.

It is an arithmetic number, because the mean of its divisors is an integer number (7032758878323).

Almost surely, 2^{53135653554101} is an apocalyptic number.

It is an amenable number.

53135653554101 is a deficient number, since it is larger than the sum of its proper divisors (3126417472483).

53135653554101 is a wasteful number, since it uses less digits than its factorization.

53135653554101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43932951.

The product of its (nonzero) digits is 2025000, while the sum is 47.

The spelling of 53135653554101 in words is "fifty-three trillion, one hundred thirty-five billion, six hundred fifty-three million, five hundred fifty-four thousand, one hundred one".