509922401 has 2 divisors, whose sum is σ = 509922402. Its totient is φ = 509922400.

The previous prime is 509922389. The next prime is 509922467. The reversal of 509922401 is 104229905.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 351187600 + 158734801 = 18740^2 + 12599^2 .

It is a cyclic number.

It is not a de Polignac number, because 509922401 - 2¹⁴ = 509906017 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (509928401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 254961200 + 254961201.

It is an arithmetic number, because the mean of its divisors is an integer number (254961201).

Almost surely, 2^509922401 is an apocalyptic number.

It is an amenable number.

509922401 is a deficient number, since it is larger than the sum of its proper divisors (1).

509922401 is an equidigital number, since it uses as much as digits as its factorization.

509922401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6480, while the sum is 32.

The square root of 509922401 is about 22581.4614451767. The cubic root of 509922401 is about 798.9164502500.

The spelling of 509922401 in words is "five hundred nine million, nine hundred twenty-two thousand, four hundred one".