125808001 has 16 divisors (see below), whose sum is σ = 140616000. Its totient is φ = 111592000.

The previous prime is 125807989. The next prime is 125808017. The reversal of 125808001 is 100808521.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-125808001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (125808301) 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 15 ways as a sum of consecutive naturals, for example, 96051 + ... + 97351.

It is an arithmetic number, because the mean of its divisors is an integer number (8788500).

Almost surely, 2^125808001 is an apocalyptic number.

125808001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

125808001 is a deficient number, since it is larger than the sum of its proper divisors (14807999).

125808001 is a wasteful number, since it uses less digits than its factorization.

125808001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1520.

The product of its (nonzero) digits is 640, while the sum is 25.

The square root of 125808001 is about 11216.4165846317. The cubic root of 125808001 is about 501.0750216670.

The spelling of 125808001 in words is "one hundred twenty-five million, eight hundred eight thousand, one".