51052582152 has 640 divisors, whose sum is σ = 179146598400. Its totient is φ = 13352947200.

The previous prime is 51052582123. The next prime is 51052582153. The reversal of 51052582152 is 25128525015.

51052582152 is a `hidden beast` number, since 5 + 1 + 0 + 525 + 82 + 1 + 52 = 666.

It is a super-2 number, since 2×51052582152² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (51052582153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 188385777 + ... + 188386047.

It is an arithmetic number, because the mean of its divisors is an integer number (279916560).

Almost surely, 2^51052582152 is an apocalyptic number.

51052582152 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51052582152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89573299200).

51052582152 is an abundant number, since it is smaller than the sum of its proper divisors (128094016248).

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

51052582152 is a wasteful number, since it uses less digits than its factorization.

51052582152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 40000, while the sum is 36.

The spelling of 51052582152 in words is "fifty-one billion, fifty-two million, five hundred eighty-two thousand, one hundred fifty-two".