125312505213521 has 2 divisors, whose sum is σ = 125312505213522. Its totient is φ = 125312505213520.

The previous prime is 125312505213461. The next prime is 125312505213641.

125312505213521 is nontrivially palindromic in base 10.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99205882846225 + 26106622367296 = 9960215^2 + 5109464^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 125312505213521 - 2¹⁸ = 125312504951377 is a prime.

It is not a weakly prime, because it can be changed into another prime (125312505203521) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 62656252606760 + 62656252606761.

It is an arithmetic number, because the mean of its divisors is an integer number (62656252606761).

Almost surely, 2^{125312505213521} is an apocalyptic number.

It is an amenable number.

125312505213521 is a deficient number, since it is larger than the sum of its proper divisors (1).

125312505213521 is an equidigital number, since it uses as much as digits as its factorization.

125312505213521 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 90000, while the sum is 38.

It can be divided in two parts, 12531250 and 5213521, that added together give a palindrome (17744771).

The spelling of 125312505213521 in words is "one hundred twenty-five trillion, three hundred twelve billion, five hundred five million, two hundred thirteen thousand, five hundred twenty-one".