52813884137112 has 384 divisors, whose sum is σ = 175735188195840. Its totient is φ = 14544623554560.

The previous prime is 52813884137093. The next prime is 52813884137141. The reversal of 52813884137112 is 21173148831825.

52813884137112 is a `hidden beast` number, since 5 + 2 + 81 + 3 + 88 + 413 + 71 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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, 53383912 + ... + 54364232.

It is an arithmetic number, because the mean of its divisors is an integer number (457643719260).

Almost surely, 2^{52813884137112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52813884137112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87867594097920).

52813884137112 is an abundant number, since it is smaller than the sum of its proper divisors (122921304058728).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

52813884137112 is a wasteful number, since it uses less digits than its factorization.

52813884137112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 980493 (or 980477 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 54.

The spelling of 52813884137112 in words is "fifty-two trillion, eight hundred thirteen billion, eight hundred eighty-four million, one hundred thirty-seven thousand, one hundred twelve".