527413959072 has 768 divisors, whose sum is σ = 2073989836800. Its totient is φ = 125927239680.

The previous prime is 527413959043. The next prime is 527413959073. The reversal of 527413959072 is 270959314725.

527413959072 is a `hidden beast` number, since 5 + 2 + 7 + 41 + 3 + 9 + 590 + 7 + 2 = 666.

It is a super-2 number, since 2×527413959072² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (527413959073) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 232647283 + ... + 232649549.

It is an arithmetic number, because the mean of its divisors is an integer number (2700507600).

Almost surely, 2^527413959072 is an apocalyptic number.

527413959072 is a gapful number since it is divisible by the number (52) 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 527413959072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1036994918400).

527413959072 is an abundant number, since it is smaller than the sum of its proper divisors (1546575877728).

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

527413959072 is a wasteful number, since it uses less digits than its factorization.

527413959072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2586 (or 2572 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 54.

The spelling of 527413959072 in words is "five hundred twenty-seven billion, four hundred thirteen million, nine hundred fifty-nine thousand, seventy-two".