532581630336 has 576 divisors, whose sum is σ = 1858277191680. Its totient is φ = 151387149312.

The previous prime is 532581630331. The next prime is 532581630359. The reversal of 532581630336 is 633036185235.

532581630336 is a `hidden beast` number, since 5 + 3 + 2 + 5 + 8 + 1 + 630 + 3 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a junction number, because it is equal to n+sod(n) for n = 532581630291 and 532581630300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (532581630331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 339872625 + ... + 339874191.

It is an arithmetic number, because the mean of its divisors is an integer number (3226175680).

Almost surely, 2^532581630336 is an apocalyptic number.

532581630336 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 532581630336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (929138595840).

532581630336 is an abundant number, since it is smaller than the sum of its proper divisors (1325695561344).

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

532581630336 is a wasteful number, since it uses less digits than its factorization.

532581630336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1833 (or 1802 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 45.

The spelling of 532581630336 in words is "five hundred thirty-two billion, five hundred eighty-one million, six hundred thirty thousand, three hundred thirty-six".