53140133104135 has 96 divisors (see below), whose sum is σ = 83410233887232. Its totient is φ = 31571618538240.

The previous prime is 53140133104133. The next prime is 53140133104147.

53140133104135 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 53140133104135 - 2¹ = 53140133104133 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 53140133104135.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53140133104133) 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 95 ways as a sum of consecutive naturals, for example, 55944232 + ... + 56886178.

It is an arithmetic number, because the mean of its divisors is an integer number (868856602992).

Almost surely, 2^{53140133104135} is an apocalyptic number.

53140133104135 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

53140133104135 is a deficient number, since it is larger than the sum of its proper divisors (30270100783097).

53140133104135 is a wasteful number, since it uses less digits than its factorization.

53140133104135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942293 (or 942270 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 34.

It can be divided in two parts, 5314013 and 3104135, that added together give a palindrome (8418148).

The spelling of 53140133104135 in words is "fifty-three trillion, one hundred forty billion, one hundred thirty-three million, one hundred four thousand, one hundred thirty-five".