125731007 has 2 divisors, whose sum is σ = 125731008. Its totient is φ = 125731006.

The previous prime is 125730991. The next prime is 125731019. The reversal of 125731007 is 700137521.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 125731007 - 2⁴ = 125730991 is a prime.

It is a super-2 number, since 2×125731007² = 31616572242468098, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (125731027) 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, 62865503 + 62865504.

It is an arithmetic number, because the mean of its divisors is an integer number (62865504).

Almost surely, 2^125731007 is an apocalyptic number.

125731007 is a deficient number, since it is larger than the sum of its proper divisors (1).

125731007 is an equidigital number, since it uses as much as digits as its factorization.

125731007 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1470, while the sum is 26.

The square root of 125731007 is about 11212.9838580103. The cubic root of 125731007 is about 500.9727821623.

Adding to 125731007 its reverse (700137521), we get a palindrome (825868528).

The spelling of 125731007 in words is "one hundred twenty-five million, seven hundred thirty-one thousand, seven".