527282158032 has 1440 divisors, whose sum is σ = 2002218516480. Its totient is φ = 133327918080.

The previous prime is 527282158003. The next prime is 527282158057. The reversal of 527282158032 is 230851282725.

527282158032 is a `hidden beast` number, since 5 + 27 + 28 + 21 + 580 + 3 + 2 = 666.

It is a super-2 number, since 2×527282158032² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4151827953 + ... + 4151828079.

Almost surely, 2^527282158032 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 527282158032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1001109258240).

527282158032 is an abundant number, since it is smaller than the sum of its proper divisors (1474936358448).

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

527282158032 is a wasteful number, since it uses less digits than its factorization.

527282158032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 527282158032 in words is "five hundred twenty-seven billion, two hundred eighty-two million, one hundred fifty-eight thousand, thirty-two".