506416397 has 2 divisors, whose sum is σ = 506416398. Its totient is φ = 506416396.

The previous prime is 506416381. The next prime is 506416409. The reversal of 506416397 is 793614605.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 318479716 + 187936681 = 17846^2 + 13709^2 .

It is a cyclic number.

It is not a de Polignac number, because 506416397 - 2⁴ = 506416381 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (506016397) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 253208198 + 253208199.

It is an arithmetic number, because the mean of its divisors is an integer number (253208199).

Almost surely, 2^506416397 is an apocalyptic number.

It is an amenable number.

506416397 is a deficient number, since it is larger than the sum of its proper divisors (1).

506416397 is an equidigital number, since it uses as much as digits as its factorization.

506416397 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 136080, while the sum is 41.

The square root of 506416397 is about 22503.6974073151. The cubic root of 506416397 is about 797.0812374195.

The spelling of 506416397 in words is "five hundred six million, four hundred sixteen thousand, three hundred ninety-seven".