125263905 has 64 divisors (see below), whose sum is σ = 236597760. Its totient is φ = 55996416.

The previous prime is 125263891. The next prime is 125263921. The reversal of 125263905 is 509362521.

It is not a de Polignac number, because 125263905 - 2¹⁵ = 125231137 is a prime.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 95484 + ... + 96786.

It is an arithmetic number, because the mean of its divisors is an integer number (3696840).

Almost surely, 2^125263905 is an apocalyptic number.

125263905 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

125263905 is a deficient number, since it is larger than the sum of its proper divisors (111333855).

125263905 is a wasteful number, since it uses less digits than its factorization.

125263905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1370.

The product of its (nonzero) digits is 16200, while the sum is 33.

The square root of 125263905 is about 11192.1358551440. The cubic root of 125263905 is about 500.3516259937.

The spelling of 125263905 in words is "one hundred twenty-five million, two hundred sixty-three thousand, nine hundred five".