125412505214521 has 24 divisors (see below), whose sum is σ = 148146444580680. Its totient is φ = 105844088448000.

The previous prime is 125412505214449. The next prime is 125412505214561.

125412505214521 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 20903001120400 + 104509504094121 = 4571980^2 + 10222989^2 .

It is not a de Polignac number, because 125412505214521 - 2⁷ = 125412505214393 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (125412505214561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69106936 + ... + 70898473.

It is an arithmetic number, because the mean of its divisors is an integer number (6172768524195).

Almost surely, 2^{125412505214521} is an apocalyptic number.

It is an amenable number.

125412505214521 is a deficient number, since it is larger than the sum of its proper divisors (22733939366159).

125412505214521 is a wasteful number, since it uses less digits than its factorization.

125412505214521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140005705 (or 140005698 counting only the distinct ones).

The product of its (nonzero) digits is 160000, while the sum is 40.

It can be divided in two parts, 12541250 and 5214521, that added together give a palindrome (17755771).

The spelling of 125412505214521 in words is "one hundred twenty-five trillion, four hundred twelve billion, five hundred five million, two hundred fourteen thousand, five hundred twenty-one".