125505521 has 2 divisors, whose sum is σ = 125505522. Its totient is φ = 125505520.

The previous prime is 125505491. The next prime is 125505547.

125505521 is nontrivially palindromic in base 10.

It is an a-pointer prime, because the next prime (125505547) can be obtained adding 125505521 to its sum of digits (26).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 90459121 + 35046400 = 9511^2 + 5920^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 125505521 - 2¹⁰ = 125504497 is a prime.

It is not a weakly prime, because it can be changed into another prime (125505571) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 62752760 + 62752761.

It is an arithmetic number, because the mean of its divisors is an integer number (62752761).

Almost surely, 2^125505521 is an apocalyptic number.

It is an amenable number.

125505521 is a deficient number, since it is larger than the sum of its proper divisors (1).

125505521 is an equidigital number, since it uses as much as digits as its factorization.

125505521 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2500, while the sum is 26.

The square root of 125505521 is about 11202.9246627834. The cubic root of 125505521 is about 500.6731214085.

The spelling of 125505521 in words is "one hundred twenty-five million, five hundred five thousand, five hundred twenty-one".