125506729 has 2 divisors, whose sum is σ = 125506730. Its totient is φ = 125506728.

The previous prime is 125506697. The next prime is 125506753. The reversal of 125506729 is 927605521.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 103632400 + 21874329 = 10180^2 + 4677^2 .

It is a cyclic number.

It is not a de Polignac number, because 125506729 - 2⁵ = 125506697 is a prime.

It is not a weakly prime, because it can be changed into another prime (125501729) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 62753364 + 62753365.

It is an arithmetic number, because the mean of its divisors is an integer number (62753365).

Almost surely, 2^125506729 is an apocalyptic number.

It is an amenable number.

125506729 is a deficient number, since it is larger than the sum of its proper divisors (1).

125506729 is an equidigital number, since it uses as much as digits as its factorization.

125506729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 37800, while the sum is 37.

The square root of 125506729 is about 11202.9785771463. The cubic root of 125506729 is about 500.6747277420.

The spelling of 125506729 in words is "one hundred twenty-five million, five hundred six thousand, seven hundred twenty-nine".