125982561 has 16 divisors (see below), whose sum is σ = 172339904. Its totient is φ = 81817344.

The previous prime is 125982551. The next prime is 125982599. The reversal of 125982561 is 165289521.

It is not a de Polignac number, because 125982561 - 2⁷ = 125982433 is a prime.

It is a super-2 number, since 2×125982561² = 31743211352237442, which contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (125982551) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 57885 + ... + 60021.

It is an arithmetic number, because the mean of its divisors is an integer number (10771244).

Almost surely, 2^125982561 is an apocalyptic number.

It is an amenable number.

125982561 is a deficient number, since it is larger than the sum of its proper divisors (46357343).

125982561 is a wasteful number, since it uses less digits than its factorization.

125982561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2640.

The product of its digits is 43200, while the sum is 39.

The square root of 125982561 is about 11224.1953386423. The cubic root of 125982561 is about 501.3066636191.

The spelling of 125982561 in words is "one hundred twenty-five million, nine hundred eighty-two thousand, five hundred sixty-one".