125353353521 has 8 divisors (see below), whose sum is σ = 136764264288. Its totient is φ = 113944968000.

The previous prime is 125353353449. The next prime is 125353353529.

125353353521 is nontrivially palindromic in base 10.

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 125353353521 - 2³⁰ = 124279611697 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (125353353529) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 526760 + ... + 726761.

It is an arithmetic number, because the mean of its divisors is an integer number (17095533036).

Almost surely, 2^125353353521 is an apocalyptic number.

125353353521 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

125353353521 is a deficient number, since it is larger than the sum of its proper divisors (11410910767).

125353353521 is a wasteful number, since it uses less digits than its factorization.

125353353521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1262623.

The product of its digits is 202500, while the sum is 38.

It can be divided in two parts, 125353 and 353521, that added together give a palindrome (478874).

The spelling of 125353353521 in words is "one hundred twenty-five billion, three hundred fifty-three million, three hundred fifty-three thousand, five hundred twenty-one".