125008591 has 2 divisors, whose sum is σ = 125008592. Its totient is φ = 125008590.

The previous prime is 125008571. The next prime is 125008613. The reversal of 125008591 is 195800521.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 125008591 - 2¹¹ = 125006543 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (125008511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 62504295 + 62504296.

It is an arithmetic number, because the mean of its divisors is an integer number (62504296).

Almost surely, 2^125008591 is an apocalyptic number.

125008591 is a deficient number, since it is larger than the sum of its proper divisors (1).

125008591 is an equidigital number, since it uses as much as digits as its factorization.

125008591 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3600, while the sum is 31.

The square root of 125008591 is about 11180.7240820977. The cubic root of 125008591 is about 500.0114544043.

The spelling of 125008591 in words is "one hundred twenty-five million, eight thousand, five hundred ninety-one".