527936632512 has 224 divisors, whose sum is σ = 1492353859584. Its totient is φ = 164428185600.

The previous prime is 527936632511. The next prime is 527936632519. The reversal of 527936632512 is 215236639725.

It is a super-2 number, since 2×527936632512² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (527936632511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23659953 + ... + 23682255.

It is an arithmetic number, because the mean of its divisors is an integer number (6662294016).

Almost surely, 2^527936632512 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 527936632512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746176929792).

527936632512 is an abundant number, since it is smaller than the sum of its proper divisors (964417227072).

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

527936632512 is a wasteful number, since it uses less digits than its factorization.

527936632512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22487 (or 22477 counting only the distinct ones).

The product of its digits is 4082400, while the sum is 51.

The spelling of 527936632512 in words is "five hundred twenty-seven billion, nine hundred thirty-six million, six hundred thirty-two thousand, five hundred twelve".