125307261 has 24 divisors (see below), whose sum is σ = 193227840. Its totient is φ = 78019200.

The previous prime is 125307257. The next prime is 125307263. The reversal of 125307261 is 162703521.

It is a happy number.

125307261 is a `hidden beast` number, since 1 + 2 + 530 + 72 + 61 = 666.

It is not a de Polignac number, because 125307261 - 2² = 125307257 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125307263) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6981 + ... + 17301.

It is an arithmetic number, because the mean of its divisors is an integer number (8051160).

Almost surely, 2^125307261 is an apocalyptic number.

It is an amenable number.

125307261 is a deficient number, since it is larger than the sum of its proper divisors (67920579).

125307261 is a wasteful number, since it uses less digits than its factorization.

125307261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10417 (or 10414 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 125307261 is about 11194.0725832916. The cubic root of 125307261 is about 500.4093461134.

It can be divided in two parts, 12530 and 7261, that added together give a palindrome (19791).

The spelling of 125307261 in words is "one hundred twenty-five million, three hundred seven thousand, two hundred sixty-one".