523628801 has 2 divisors, whose sum is σ = 523628802. Its totient is φ = 523628800.

The previous prime is 523628701. The next prime is 523628839. The reversal of 523628801 is 108826325.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 354004225 + 169624576 = 18815^2 + 13024^2 .

It is a cyclic number.

It is not a de Polignac number, because 523628801 - 2¹⁴ = 523612417 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (523628851) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 261814400 + 261814401.

It is an arithmetic number, because the mean of its divisors is an integer number (261814401).

Almost surely, 2^523628801 is an apocalyptic number.

It is an amenable number.

523628801 is a deficient number, since it is larger than the sum of its proper divisors (1).

523628801 is an equidigital number, since it uses as much as digits as its factorization.

523628801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23040, while the sum is 35.

The square root of 523628801 is about 22882.9368962990. The cubic root of 523628801 is about 806.0113831370.

The spelling of 523628801 in words is "five hundred twenty-three million, six hundred twenty-eight thousand, eight hundred one".