125626401 has 12 divisors (see below), whose sum is σ = 181666212. Its totient is φ = 83655936.

The previous prime is 125626373. The next prime is 125626409. The reversal of 125626401 is 104626521.

125626401 is a `hidden beast` number, since 1 + 256 + 2 + 6 + 401 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 60840000 + 64786401 = 7800^2 + 8049^2 .

It is not a de Polignac number, because 125626401 - 2¹³ = 125618209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (125626409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 985 + ... + 15881.

It is an arithmetic number, because the mean of its divisors is an integer number (15138851).

Almost surely, 2^125626401 is an apocalyptic number.

It is an amenable number.

125626401 is a deficient number, since it is larger than the sum of its proper divisors (56039811).

125626401 is a wasteful number, since it uses less digits than its factorization.

125626401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15840 (or 15837 counting only the distinct ones).

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

The square root of 125626401 is about 11208.3183841288. The cubic root of 125626401 is about 500.8338100819.

The spelling of 125626401 in words is "one hundred twenty-five million, six hundred twenty-six thousand, four hundred one".