125782729 has 2 divisors, whose sum is σ = 125782730. Its totient is φ = 125782728.

The previous prime is 125782703. The next prime is 125782751. The reversal of 125782729 is 927287521.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 117505600 + 8277129 = 10840^2 + 2877^2 .

It is a cyclic number.

It is not a de Polignac number, because 125782729 - 2²¹ = 123685577 is a prime.

It is not a weakly prime, because it can be changed into another prime (125782759) 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, 62891364 + 62891365.

It is an arithmetic number, because the mean of its divisors is an integer number (62891365).

Almost surely, 2^125782729 is an apocalyptic number.

It is an amenable number.

125782729 is a deficient number, since it is larger than the sum of its proper divisors (1).

125782729 is an equidigital number, since it uses as much as digits as its factorization.

125782729 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 141120, while the sum is 43.

The square root of 125782729 is about 11215.2899650433. The cubic root of 125782729 is about 501.0414678499.

The spelling of 125782729 in words is "one hundred twenty-five million, seven hundred eighty-two thousand, seven hundred twenty-nine".