752125009 has 2 divisors, whose sum is σ = 752125010. Its totient is φ = 752125008.

The previous prime is 752124991. The next prime is 752125019. The reversal of 752125009 is 900521257.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 593994384 + 158130625 = 24372^2 + 12575^2 .

It is an emirp because it is prime and its reverse (900521257) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 752125009 - 2⁵ = 752124977 is a prime.

It is not a weakly prime, because it can be changed into another prime (752125019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 376062504 + 376062505.

It is an arithmetic number, because the mean of its divisors is an integer number (376062505).

Almost surely, 2^752125009 is an apocalyptic number.

It is an amenable number.

752125009 is a deficient number, since it is larger than the sum of its proper divisors (1).

752125009 is an equidigital number, since it uses as much as digits as its factorization.

752125009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6300, while the sum is 31.

The square root of 752125009 is about 27424.8976114771. The cubic root of 752125009 is about 909.4175756278.

The spelling of 752125009 in words is "seven hundred fifty-two million, one hundred twenty-five thousand, nine".