527806513152 has 360 divisors, whose sum is σ = 1624387588096. Its totient is φ = 171132715008.

The previous prime is 527806513147. The next prime is 527806513207. The reversal of 527806513152 is 251315608725.

527806513152 is a `hidden beast` number, since 5 + 2 + 7 + 80 + 6 + 513 + 1 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 527806513098 and 527806513107.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 147306753 + ... + 147310335.

Almost surely, 2^527806513152 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 527806513152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812193794048).

527806513152 is an abundant number, since it is smaller than the sum of its proper divisors (1096581074944).

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

527806513152 is an frugal number, since it uses more digits than its factorization.

527806513152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3663 (or 3625 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The spelling of 527806513152 in words is "five hundred twenty-seven billion, eight hundred six million, five hundred thirteen thousand, one hundred fifty-two".