527013359829936 has 960 divisors, whose sum is σ = 1910187596169216. Its totient is φ = 132307358515200.

The previous prime is 527013359829923. The next prime is 527013359829947. The reversal of 527013359829936 is 639928953310725.

It is a happy number.

527013359829936 is a `hidden beast` number, since 5 + 2 + 7 + 0 + 1 + 3 + 3 + 598 + 29 + 9 + 3 + 6 = 666.

It is a super-3 number, since 3×527013359829936³ (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1090032280 + ... + 1090515656.

Almost surely, 2^{527013359829936} is an apocalyptic number.

527013359829936 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 527013359829936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (955093798084608).

527013359829936 is an abundant number, since it is smaller than the sum of its proper divisors (1383174236339280).

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

527013359829936 is a wasteful number, since it uses less digits than its factorization.

527013359829936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483530 (or 483521 counting only the distinct ones).

The product of its (nonzero) digits is 661348800, while the sum is 72.

The spelling of 527013359829936 in words is "five hundred twenty-seven trillion, thirteen billion, three hundred fifty-nine million, eight hundred twenty-nine thousand, nine hundred thirty-six".