125206612641 has 24 divisors (see below), whose sum is σ = 205873327296. Its totient is φ = 72583542240.

The previous prime is 125206612561. The next prime is 125206612669. The reversal of 125206612641 is 146216602521.

125206612641 is a `hidden beast` number, since 1 + 2 + 5 + 2 + 0 + 6 + 6 + 1 + 2 + 641 = 666.

It is not a de Polignac number, because 125206612641 - 2¹³ = 125206604449 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 125206612596 and 125206612605.

It is not an unprimeable number, because it can be changed into a prime (125206611641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27491490 + ... + 27496043.

It is an arithmetic number, because the mean of its divisors is an integer number (8578055304).

Almost surely, 2^125206612641 is an apocalyptic number.

125206612641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

125206612641 is a deficient number, since it is larger than the sum of its proper divisors (80666714655).

125206612641 is a wasteful number, since it uses less digits than its factorization.

125206612641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54987573 (or 54987570 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 125206612641 in words is "one hundred twenty-five billion, two hundred six million, six hundred twelve thousand, six hundred forty-one".