125756576505 has 72 divisors (see below), whose sum is σ = 253656748800. Its totient is φ = 57468220992.

The previous prime is 125756576503. The next prime is 125756576507. The reversal of 125756576505 is 505675657521.

125756576505 is a `hidden beast` number, since 1 + 2 + 5 + 7 + 5 + 65 + 76 + 505 = 666.

It is an interprime number because it is at equal distance from previous prime (125756576503) and next prime (125756576507).

It is not a de Polignac number, because 125756576505 - 2¹ = 125756576503 is a prime.

It is not an unprimeable number, because it can be changed into a prime (125756576501) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7398106 + ... + 7415084.

It is an arithmetic number, because the mean of its divisors is an integer number (3523010400).

Almost surely, 2^125756576505 is an apocalyptic number.

125756576505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

125756576505 is an abundant number, since it is smaller than the sum of its proper divisors (127900172295).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

125756576505 is a wasteful number, since it uses less digits than its factorization.

125756576505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20363 (or 20353 counting only the distinct ones).

The product of its (nonzero) digits is 11025000, while the sum is 54.

The spelling of 125756576505 in words is "one hundred twenty-five billion, seven hundred fifty-six million, five hundred seventy-six thousand, five hundred five".