505351406401 has 16 divisors (see below), whose sum is σ = 533298862080. Its totient is φ = 478153175040.

The previous prime is 505351406393. The next prime is 505351406407. The reversal of 505351406401 is 104604153505.

It is a cyclic number.

It is not a de Polignac number, because 505351406401 - 2³ = 505351406393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (505351406407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1245985 + ... + 1600993.

It is an arithmetic number, because the mean of its divisors is an integer number (33331178880).

Almost surely, 2^505351406401 is an apocalyptic number.

It is an amenable number.

505351406401 is a deficient number, since it is larger than the sum of its proper divisors (27947455679).

505351406401 is a wasteful number, since it uses less digits than its factorization.

505351406401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356064.

The product of its (nonzero) digits is 36000, while the sum is 34.

Adding to 505351406401 its reverse (104604153505), we get a palindrome (609955559906).

The spelling of 505351406401 in words is "five hundred five billion, three hundred fifty-one million, four hundred six thousand, four hundred one".