125629642241 has 8 divisors (see below), whose sum is σ = 132984065280. Its totient is φ = 118476710352.

The previous prime is 125629642231. The next prime is 125629642249. The reversal of 125629642241 is 142246926521.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 125629642241 - 2³⁴ = 108449773057 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 125629642192 and 125629642201.

It is not an unprimeable number, because it can be changed into a prime (125629642249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50371505 + ... + 50373998.

It is an arithmetic number, because the mean of its divisors is an integer number (16623008160).

Almost surely, 2^125629642241 is an apocalyptic number.

It is an amenable number.

125629642241 is a deficient number, since it is larger than the sum of its proper divisors (7354423039).

125629642241 is a wasteful number, since it uses less digits than its factorization.

125629642241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100745575.

The product of its digits is 414720, while the sum is 44.

The spelling of 125629642241 in words is "one hundred twenty-five billion, six hundred twenty-nine million, six hundred forty-two thousand, two hundred forty-one".