752057497 has 2 divisors, whose sum is σ = 752057498. Its totient is φ = 752057496.

The previous prime is 752057443. The next prime is 752057531. The reversal of 752057497 is 794750257.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 499120281 + 252937216 = 22341^2 + 15904^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-752057497 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (752057437) 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, 376028748 + 376028749.

It is an arithmetic number, because the mean of its divisors is an integer number (376028749).

Almost surely, 2^752057497 is an apocalyptic number.

It is an amenable number.

752057497 is a deficient number, since it is larger than the sum of its proper divisors (1).

752057497 is an equidigital number, since it uses as much as digits as its factorization.

752057497 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 617400, while the sum is 46.

The square root of 752057497 is about 27423.6667314931. Note that the first 3 decimals coincide. The cubic root of 752057497 is about 909.3903645322.

The spelling of 752057497 in words is "seven hundred fifty-two million, fifty-seven thousand, four hundred ninety-seven".