53135631 has 12 divisors (see below), whose sum is σ = 78624000. Its totient is φ = 34559520.

The previous prime is 53135629. The next prime is 53135633. The reversal of 53135631 is 13653135.

53135631 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (53135629) and next prime (53135633).

It is not a de Polignac number, because 53135631 - 2¹ = 53135629 is a prime.

It is a super-3 number, since 3×53135631³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 53135595 and 53135604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53135633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71631 + ... + 72368.

It is an arithmetic number, because the mean of its divisors is an integer number (6552000).

Almost surely, 2^53135631 is an apocalyptic number.

53135631 is a deficient number, since it is larger than the sum of its proper divisors (25488369).

53135631 is a wasteful number, since it uses less digits than its factorization.

53135631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144046 (or 144043 counting only the distinct ones).

The product of its digits is 4050, while the sum is 27.

The square root of 53135631 is about 7289.4191126591. The cubic root of 53135631 is about 375.9487231078.

Adding to 53135631 its reverse (13653135), we get a palindrome (66788766).

The spelling of 53135631 in words is "fifty-three million, one hundred thirty-five thousand, six hundred thirty-one".