125435534521 has 32 divisors (see below), whose sum is σ = 141194059776. Its totient is φ = 110446416000.

The previous prime is 125435534513. The next prime is 125435534527.

125435534521 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 125435534521 - 2³ = 125435534513 is a prime.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (125435534527) 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 31 ways as a sum of consecutive naturals, for example, 37520176 + ... + 37523518.

It is an arithmetic number, because the mean of its divisors is an integer number (4412314368).

Almost surely, 2^125435534521 is an apocalyptic number.

125435534521 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

125435534521 is a deficient number, since it is larger than the sum of its proper divisors (15758525255).

125435534521 is a wasteful number, since it uses less digits than its factorization.

125435534521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3973.

The product of its digits is 360000, while the sum is 40.

It can be divided in two parts, 125435 and 534521, that added together give a palindrome (659956).

The spelling of 125435534521 in words is "one hundred twenty-five billion, four hundred thirty-five million, five hundred thirty-four thousand, five hundred twenty-one".