125812517805 has 48 divisors (see below), whose sum is σ = 234891261696. Its totient is φ = 61927597440.

The previous prime is 125812517711. The next prime is 125812517819. The reversal of 125812517805 is 508715218521.

It is a happy number.

125812517805 is a `hidden beast` number, since 1 + 2 + 58 + 1 + 2 + 517 + 80 + 5 = 666.

It is not a de Polignac number, because 125812517805 - 2¹⁴ = 125812501421 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 4074354 + ... + 4105116.

It is an arithmetic number, because the mean of its divisors is an integer number (4893567952).

Almost surely, 2^125812517805 is an apocalyptic number.

125812517805 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

125812517805 is a deficient number, since it is larger than the sum of its proper divisors (109078743891).

125812517805 is a wasteful number, since it uses less digits than its factorization.

125812517805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37778 (or 37775 counting only the distinct ones).

The product of its (nonzero) digits is 224000, while the sum is 45.

The spelling of 125812517805 in words is "one hundred twenty-five billion, eight hundred twelve million, five hundred seventeen thousand, eight hundred five".