125829007 has 2 divisors, whose sum is σ = 125829008. Its totient is φ = 125829006.

The previous prime is 125828987. The next prime is 125829059. The reversal of 125829007 is 700928521.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 125829007 - 2²³ = 117440399 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (125829307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 62914503 + 62914504.

It is an arithmetic number, because the mean of its divisors is an integer number (62914504).

Almost surely, 2^125829007 is an apocalyptic number.

125829007 is a deficient number, since it is larger than the sum of its proper divisors (1).

125829007 is an equidigital number, since it uses as much as digits as its factorization.

125829007 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10080, while the sum is 34.

The square root of 125829007 is about 11217.3529408680. The cubic root of 125829007 is about 501.1029080655.

The spelling of 125829007 in words is "one hundred twenty-five million, eight hundred twenty-nine thousand, seven".