527498616681 has 135 divisors (see below), whose sum is σ = 863811546037. Its totient is φ = 320730105600.

The previous prime is 527498616629. The next prime is 527498616683. The reversal of 527498616681 is 186616894725.

The square root of 527498616681 is 726291.

It is a perfect power (a square), and thus also a powerful number.

527498616681 is a `hidden beast` number, since 5 + 2 + 7 + 4 + 9 + 8 + 616 + 6 + 8 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 314132225625 + 213366391056 = 560475^2 + 461916^2 .

It is not a de Polignac number, because 527498616681 - 2⁷ = 527498616553 is a prime.

It is a super-2 number, since 2×527498616681² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

Its product of digits (34836480) is a multiple of the sum of its prime divisors (168).

It is not an unprimeable number, because it can be changed into a prime (527498616683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 5222758531 + ... + 5222758631.

Almost surely, 2^527498616681 is an apocalyptic number.

527498616681 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

527498616681 is the 726291-st square number.

527498616681 is the 363146-th centered octagonal number.

It is an amenable number.

527498616681 is a deficient number, since it is larger than the sum of its proper divisors (336312929356).

527498616681 is an equidigital number, since it uses as much as digits as its factorization.

527498616681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 168 counting only the distinct ones).

The product of its digits is 34836480, while the sum is 63.

The spelling of 527498616681 in words is "five hundred twenty-seven billion, four hundred ninety-eight million, six hundred sixteen thousand, six hundred eighty-one".