125515540161 has 12 divisors (see below), whose sum is σ = 197782063440. Its totient is φ = 76070024280.

The previous prime is 125515540151. The next prime is 125515540169. The reversal of 125515540161 is 161045515521.

125515540161 is a `hidden beast` number, since 1 + 2 + 5 + 51 + 5 + 540 + 1 + 61 = 666.

It is not a de Polignac number, because 125515540161 - 2¹⁰ = 125515539137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (125515540169) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 633916771 + ... + 633916968.

It is an arithmetic number, because the mean of its divisors is an integer number (16481838620).

Almost surely, 2^125515540161 is an apocalyptic number.

125515540161 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

125515540161 is a deficient number, since it is larger than the sum of its proper divisors (72266523279).

125515540161 is a wasteful number, since it uses less digits than its factorization.

125515540161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1267833756 (or 1267833753 counting only the distinct ones).

The product of its (nonzero) digits is 30000, while the sum is 36.

The spelling of 125515540161 in words is "one hundred twenty-five billion, five hundred fifteen million, five hundred forty thousand, one hundred sixty-one".