532633625251056 has 240 divisors, whose sum is σ = 1793968487001600. Its totient is φ = 144113290670592.

The previous prime is 532633625250971. The next prime is 532633625251127. The reversal of 532633625251056 is 650152526336235.

532633625251056 is a `hidden beast` number, since 5 + 3 + 2 + 6 + 3 + 3 + 6 + 2 + 525 + 105 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 532633625250993 and 532633625251011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41825685 + ... + 53053323.

It is an arithmetic number, because the mean of its divisors is an integer number (7474868695840).

Almost surely, 2^{532633625251056} is an apocalyptic number.

532633625251056 is a gapful number since it is divisible by the number (56) 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 532633625251056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (896984243500800).

532633625251056 is an abundant number, since it is smaller than the sum of its proper divisors (1261334861750544).

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

532633625251056 is a wasteful number, since it uses less digits than its factorization.

532633625251056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11230156 (or 11230147 counting only the distinct ones).

The product of its (nonzero) digits is 29160000, while the sum is 54.

The spelling of 532633625251056 in words is "five hundred thirty-two trillion, six hundred thirty-three billion, six hundred twenty-five million, two hundred fifty-one thousand, fifty-six".