756566401 has 2 divisors, whose sum is σ = 756566402. Its totient is φ = 756566400.

The previous prime is 756566387. The next prime is 756566407. The reversal of 756566401 is 104665657.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 652036225 + 104530176 = 25535^2 + 10224^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-756566401 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (756566407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 378283200 + 378283201.

It is an arithmetic number, because the mean of its divisors is an integer number (378283201).

Almost surely, 2^756566401 is an apocalyptic number.

It is an amenable number.

756566401 is a deficient number, since it is larger than the sum of its proper divisors (1).

756566401 is an equidigital number, since it uses as much as digits as its factorization.

756566401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 151200, while the sum is 40.

The square root of 756566401 is about 27505.7521438698. The cubic root of 756566401 is about 911.2041383460.

The spelling of 756566401 in words is "seven hundred fifty-six million, five hundred sixty-six thousand, four hundred one".