53182988928135 has 48 divisors (see below), whose sum is σ = 100567070622720. Its totient is φ = 25784954838720.

The previous prime is 53182988928133. The next prime is 53182988928163.

It is a happy number.

53182988928135 is a `hidden beast` number, since 5 + 3 + 182 + 98 + 89 + 281 + 3 + 5 = 666.

53182988928135 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 53182988928135 - 2¹ = 53182988928133 is a prime.

It is a super-2 number, since 2×53182988928135² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53182988928133) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16009246 + ... + 19043684.

It is an arithmetic number, because the mean of its divisors is an integer number (2095147304640).

Almost surely, 2^{53182988928135} is an apocalyptic number.

53182988928135 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

53182988928135 is a deficient number, since it is larger than the sum of its proper divisors (47384081694585).

53182988928135 is a wasteful number, since it uses less digits than its factorization.

53182988928135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3069868 (or 3069865 counting only the distinct ones).

The product of its digits is 298598400, while the sum is 72.

The spelling of 53182988928135 in words is "fifty-three trillion, one hundred eighty-two billion, nine hundred eighty-eight million, nine hundred twenty-eight thousand, one hundred thirty-five".