125305102331505 has 48 divisors (see below), whose sum is σ = 217252814915136. Its totient is φ = 66811758249600.

The previous prime is 125305102331483. The next prime is 125305102331533. The reversal of 125305102331505 is 505133201503521.

125305102331505 is a `hidden beast` number, since 1 + 2 + 5 + 305 + 10 + 2 + 331 + 5 + 0 + 5 = 666.

It is not a de Polignac number, because 125305102331505 - 2⁶ = 125305102331441 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 125305102331505.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4877000439 + ... + 4877026131.

It is an arithmetic number, because the mean of its divisors is an integer number (4526100310732).

Almost surely, 2^{125305102331505} is an apocalyptic number.

125305102331505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

125305102331505 is a deficient number, since it is larger than the sum of its proper divisors (91947712583631).

125305102331505 is a wasteful number, since it uses less digits than its factorization.

125305102331505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50078 (or 50075 counting only the distinct ones).

The product of its (nonzero) digits is 67500, while the sum is 36.

The spelling of 125305102331505 in words is "one hundred twenty-five trillion, three hundred five billion, one hundred two million, three hundred thirty-one thousand, five hundred five".