512426401 has 2 divisors, whose sum is σ = 512426402. Its totient is φ = 512426400.

The previous prime is 512426377. The next prime is 512426417. The reversal of 512426401 is 104624215.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 438483600 + 73942801 = 20940^2 + 8599^2 .

It is a cyclic number.

It is not a de Polignac number, because 512426401 - 2¹³ = 512418209 is a prime.

It is not a weakly prime, because it can be changed into another prime (512426441) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256213200 + 256213201.

It is an arithmetic number, because the mean of its divisors is an integer number (256213201).

Almost surely, 2^512426401 is an apocalyptic number.

It is an amenable number.

512426401 is a deficient number, since it is larger than the sum of its proper divisors (1).

512426401 is an equidigital number, since it uses as much as digits as its factorization.

512426401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 512426401 is about 22636.8372570021. The cubic root of 512426401 is about 800.2220222311. Note that the first 3 decimals are identical.

The spelling of 512426401 in words is "five hundred twelve million, four hundred twenty-six thousand, four hundred one".