125933953 has 2 divisors, whose sum is σ = 125933954. Its totient is φ = 125933952.

The previous prime is 125933933. The next prime is 125933959. The reversal of 125933953 is 359339521.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 75481344 + 50452609 = 8688^2 + 7103^2 .

It is an emirp because it is prime and its reverse (359339521) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 125933953 - 2¹⁷ = 125802881 is a prime.

It is not a weakly prime, because it can be changed into another prime (125933959) 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, 62966976 + 62966977.

It is an arithmetic number, because the mean of its divisors is an integer number (62966977).

Almost surely, 2^125933953 is an apocalyptic number.

It is an amenable number.

125933953 is a deficient number, since it is larger than the sum of its proper divisors (1).

125933953 is an equidigital number, since it uses as much as digits as its factorization.

125933953 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 109350, while the sum is 40.

The square root of 125933953 is about 11222.0298074814. The cubic root of 125933953 is about 501.2421820784.

The spelling of 125933953 in words is "one hundred twenty-five million, nine hundred thirty-three thousand, nine hundred fifty-three".