125306821 has 2 divisors, whose sum is σ = 125306822. Its totient is φ = 125306820.

The previous prime is 125306809. The next prime is 125306833. The reversal of 125306821 is 128603521.

It is a balanced prime because it is at equal distance from previous prime (125306809) and next prime (125306833).

It can be written as a sum of positive squares in only one way, i.e., 122965921 + 2340900 = 11089^2 + 1530^2 .

It is a cyclic number.

It is not a de Polignac number, because 125306821 - 2⁵ = 125306789 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 125306821.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (125306801) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 62653410 + 62653411.

It is an arithmetic number, because the mean of its divisors is an integer number (62653411).

Almost surely, 2^125306821 is an apocalyptic number.

It is an amenable number.

125306821 is a deficient number, since it is larger than the sum of its proper divisors (1).

125306821 is an equidigital number, since it uses as much as digits as its factorization.

125306821 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 125306821 is about 11194.0529300160. The cubic root of 125306821 is about 500.4087604055.

The spelling of 125306821 in words is "one hundred twenty-five million, three hundred six thousand, eight hundred twenty-one".