125958821 has 2 divisors, whose sum is σ = 125958822. Its totient is φ = 125958820.

The previous prime is 125958779. The next prime is 125958823. The reversal of 125958821 is 128859521.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 122965921 + 2992900 = 11089^2 + 1730^2 .

It is a cyclic number.

It is not a de Polignac number, because 125958821 - 2¹⁴ = 125942437 is a prime.

Together with 125958823, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (125958823) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 62979410 + 62979411.

It is an arithmetic number, because the mean of its divisors is an integer number (62979411).

Almost surely, 2^125958821 is an apocalyptic number.

It is an amenable number.

125958821 is a deficient number, since it is larger than the sum of its proper divisors (1).

125958821 is an equidigital number, since it uses as much as digits as its factorization.

125958821 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 57600, while the sum is 41.

The square root of 125958821 is about 11223.1377519836. The cubic root of 125958821 is about 501.2751731024.

The spelling of 125958821 in words is "one hundred twenty-five million, nine hundred fifty-eight thousand, eight hundred twenty-one".