125205965 has 16 divisors (see below), whose sum is σ = 156936960. Its totient is φ = 95797440.

The previous prime is 125205961. The next prime is 125205973. The reversal of 125205965 is 569502521.

It is not a de Polignac number, because 125205965 - 2² = 125205961 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125205961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5180 + ... + 16650.

It is an arithmetic number, because the mean of its divisors is an integer number (9808560).

Almost surely, 2^125205965 is an apocalyptic number.

It is an amenable number.

125205965 is a deficient number, since it is larger than the sum of its proper divisors (31730995).

125205965 is a wasteful number, since it uses less digits than its factorization.

125205965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11572.

The product of its (nonzero) digits is 27000, while the sum is 35.

The square root of 125205965 is about 11189.5471311398. The cubic root of 125205965 is about 500.2744693056.

The spelling of 125205965 in words is "one hundred twenty-five million, two hundred five thousand, nine hundred sixty-five".