52506915552 has 576 divisors, whose sum is σ = 193731471360. Its totient is φ = 13540939776.

The previous prime is 52506915541. The next prime is 52506915653. The reversal of 52506915552 is 25551960525.

52506915552 is a `hidden beast` number, since 5 + 2 + 5 + 0 + 6 + 91 + 5 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 52506915498 and 52506915507.

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, 48038718 + ... + 48039810.

It is an arithmetic number, because the mean of its divisors is an integer number (336339360).

Almost surely, 2^52506915552 is an apocalyptic number.

52506915552 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 52506915552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96865735680).

52506915552 is an abundant number, since it is smaller than the sum of its proper divisors (141224555808).

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

52506915552 is a wasteful number, since it uses less digits than its factorization.

52506915552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1192 (or 1165 counting only the distinct ones).

The product of its (nonzero) digits is 675000, while the sum is 45.

The spelling of 52506915552 in words is "fifty-two billion, five hundred six million, nine hundred fifteen thousand, five hundred fifty-two".