526829985 has 48 divisors (see below), whose sum is σ = 1002680640. Its totient is φ = 253768320.

The previous prime is 526829971. The next prime is 526830041. The reversal of 526829985 is 589928625.

526829985 is a `hidden beast` number, since 526 + 8 + 29 + 98 + 5 = 666.

It is not a de Polignac number, because 526829985 - 2⁷ = 526829857 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74326 + ... + 81104.

It is an arithmetic number, because the mean of its divisors is an integer number (20889180).

Almost surely, 2^526829985 is an apocalyptic number.

526829985 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

526829985 is a deficient number, since it is larger than the sum of its proper divisors (475850655).

526829985 is a wasteful number, since it uses less digits than its factorization.

526829985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6958 (or 6955 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 54.

The square root of 526829985 is about 22952.7772829346. Note that the first 3 decimals coincide. The cubic root of 526829985 is about 807.6505535820.

It can be divided in two parts, 5268 and 29985, that added together give a palindrome (35253).

The spelling of 526829985 in words is "five hundred twenty-six million, eight hundred twenty-nine thousand, nine hundred eighty-five".