505443510514401 has 16 divisors (see below), whose sum is σ = 676549464984000. Its totient is φ = 335649957920768.

The previous prime is 505443510514367. The next prime is 505443510514447. The reversal of 505443510514401 is 104415015344505.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-505443510514401 is a prime.

It is a super-2 number, since 2×505443510514401² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (505443510510401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 237061270 + ... + 239183888.

It is an arithmetic number, because the mean of its divisors is an integer number (42284341561500).

Almost surely, 2^{505443510514401} is an apocalyptic number.

It is an amenable number.

505443510514401 is a deficient number, since it is larger than the sum of its proper divisors (171105954469599).

505443510514401 is a wasteful number, since it uses less digits than its factorization.

505443510514401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2431728.

The product of its (nonzero) digits is 480000, while the sum is 42.

Adding to 505443510514401 its reverse (104415015344505), we get a palindrome (609858525858906).

The spelling of 505443510514401 in words is "five hundred five trillion, four hundred forty-three billion, five hundred ten million, five hundred fourteen thousand, four hundred one".