125805737 has 2 divisors, whose sum is σ = 125805738. Its totient is φ = 125805736.

The previous prime is 125805731. The next prime is 125805739. The reversal of 125805737 is 737508521.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 87067561 + 38738176 = 9331^2 + 6224^2 .

It is a cyclic number.

It is not a de Polignac number, because 125805737 - 2⁸ = 125805481 is a prime.

It is a super-2 number, since 2×125805737² = 31654166924226338, which contains 22 as substring.

Together with 125805739, it forms a pair of twin primes.

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 125805737.

It is not a weakly prime, because it can be changed into another prime (125805731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 62902868 + 62902869.

It is an arithmetic number, because the mean of its divisors is an integer number (62902869).

Almost surely, 2^125805737 is an apocalyptic number.

It is an amenable number.

125805737 is a deficient number, since it is larger than the sum of its proper divisors (1).

125805737 is an equidigital number, since it uses as much as digits as its factorization.

125805737 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 58800, while the sum is 38.

The square root of 125805737 is about 11216.3156606793. The cubic root of 125805737 is about 501.0720159211.

The spelling of 125805737 in words is "one hundred twenty-five million, eight hundred five thousand, seven hundred thirty-seven".