526433985 has 192 divisors, whose sum is σ = 1252952064. Its totient is φ = 205286400.

The previous prime is 526433953. The next prime is 526433987. The reversal of 526433985 is 589334625.

526433985 is a `hidden beast` number, since 526 + 4 + 33 + 98 + 5 = 666.

It is not a de Polignac number, because 526433985 - 2⁵ = 526433953 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 526433985.

It is not an unprimeable number, because it can be changed into a prime (526433987) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1590270 + ... + 1590600.

It is an arithmetic number, because the mean of its divisors is an integer number (6525792).

Almost surely, 2^526433985 is an apocalyptic number.

526433985 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

526433985 is an abundant number, since it is smaller than the sum of its proper divisors (726518079).

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

526433985 is a wasteful number, since it uses less digits than its factorization.

526433985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 374 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The square root of 526433985 is about 22944.1492542217. The cubic root of 526433985 is about 807.4481418003.

The spelling of 526433985 in words is "five hundred twenty-six million, four hundred thirty-three thousand, nine hundred eighty-five".