125838521 has 2 divisors, whose sum is σ = 125838522. Its totient is φ = 125838520.

The previous prime is 125838491. The next prime is 125838523.

125838521 is nontrivially palindromic in base 10.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 118026496 + 7812025 = 10864^2 + 2795^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 125838521 - 2⁶ = 125838457 is a prime.

Together with 125838523, it forms a pair of twin primes.

It is a Chen prime.

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

It is not a weakly prime, because it can be changed into another prime (125838523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 62919260 + 62919261.

It is an arithmetic number, because the mean of its divisors is an integer number (62919261).

Almost surely, 2^125838521 is an apocalyptic number.

It is an amenable number.

125838521 is a deficient number, since it is larger than the sum of its proper divisors (1).

125838521 is an equidigital number, since it uses as much as digits as its factorization.

125838521 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 19200, while the sum is 35.

The square root of 125838521 is about 11217.7770079459. Note that the first 3 decimals coincide. The cubic root of 125838521 is about 501.1155373021.

The spelling of 125838521 in words is "one hundred twenty-five million, eight hundred thirty-eight thousand, five hundred twenty-one".