206461125 has 96 divisors (see below), whose sum is σ = 422472960. Its totient is φ = 96163200.

The previous prime is 206461111. The next prime is 206461139. The reversal of 206461125 is 521164602.

206461125 is a `hidden beast` number, since 2 + 0 + 646 + 1 + 12 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (206461111) and next prime (206461139).

It is not a de Polignac number, because 206461125 - 2⁵ = 206461093 is a prime.

It is a super-2 number, since 2×206461125² = 85252392272531250, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 277504 + ... + 278246.

It is an arithmetic number, because the mean of its divisors is an integer number (4400760).

Almost surely, 2^206461125 is an apocalyptic number.

206461125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

206461125 is an abundant number, since it is smaller than the sum of its proper divisors (216011835).

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

206461125 is a wasteful number, since it uses less digits than its factorization.

206461125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 206461125 is about 14368.7551652883. The cubic root of 206461125 is about 591.0344058233.

The spelling of 206461125 in words is "two hundred six million, four hundred sixty-one thousand, one hundred twenty-five".