527525033332000 has 384 divisors, whose sum is σ = 1428587855735040. Its totient is φ = 189844300800000.

The previous prime is 527525033331997. The next prime is 527525033332021. The reversal of 527525033332000 is 233330525725.

It is a super-2 number, since 2×527525033332000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10563363031 + ... + 10563412969.

It is an arithmetic number, because the mean of its divisors is an integer number (3720280874310).

Almost surely, 2^{527525033332000} is an apocalyptic number.

527525033332000 is a gapful number since it is divisible by the number (50) 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 527525033332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714293927867520).

527525033332000 is an abundant number, since it is smaller than the sum of its proper divisors (901062822403040).

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

527525033332000 is a wasteful number, since it uses less digits than its factorization.

527525033332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52453 (or 52435 counting only the distinct ones).

The product of its (nonzero) digits is 567000, while the sum is 40.

Adding to 527525033332000 its reverse (233330525725), we get a palindrome (527758363857725).

The spelling of 527525033332000 in words is "five hundred twenty-seven trillion, five hundred twenty-five billion, thirty-three million, three hundred thirty-two thousand".