125606385 has 12 divisors (see below), whose sum is σ = 217717812. Its totient is φ = 66990048.

The previous prime is 125606357. The next prime is 125606413. The reversal of 125606385 is 583606521.

125606385 is a `hidden beast` number, since 12 + 5 + 6 + 0 + 638 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (125606357) and next prime (125606413).

It can be written as a sum of positive squares in 2 ways, for example, as 19289664 + 106316721 = 4392^2 + 10311^2 .

It is not a de Polignac number, because 125606385 - 2¹¹ = 125604337 is a prime.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1395582 + ... + 1395671.

It is an arithmetic number, because the mean of its divisors is an integer number (18143151).

Almost surely, 2^125606385 is an apocalyptic number.

125606385 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

125606385 is a deficient number, since it is larger than the sum of its proper divisors (92111427).

125606385 is a wasteful number, since it uses less digits than its factorization.

125606385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2791264 (or 2791261 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 125606385 is about 11207.4254403052. The cubic root of 125606385 is about 500.8072094578.

The spelling of 125606385 in words is "one hundred twenty-five million, six hundred six thousand, three hundred eighty-five".