116057529 has 81 divisors (see below), whose sum is σ = 213716997. Its totient is φ = 62828136.

The previous prime is 116057527. The next prime is 116057549. The reversal of 116057529 is 925750611.

The square root of 116057529 is 10773.

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

116057529 is a `hidden beast` number, since 1 + 1 + 60 + 575 + 29 = 666.

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 116057529 - 2¹ = 116057527 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 116057493 and 116057502.

It is not an unprimeable number, because it can be changed into a prime (116057527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 6108282 + ... + 6108300.

Almost surely, 2^116057529 is an apocalyptic number.

116057529 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

116057529 is the 10773-rd square number.

116057529 is the 5387-th centered octagonal number.

It is an amenable number.

116057529 is a deficient number, since it is larger than the sum of its proper divisors (97659468).

116057529 is an frugal number, since it uses more digits than its factorization.

116057529 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 36.

The cubic root of 116057529 is about 487.7805060223.

Multiplying 116057529 by its sum of digits (36), we get a square (4178071044 = 64638²).

The spelling of 116057529 in words is "one hundred sixteen million, fifty-seven thousand, five hundred twenty-nine".