505533416415 has 32 divisors (see below), whose sum is σ = 812154608640. Its totient is φ = 268517842944.

The previous prime is 505533416327. The next prime is 505533416419. The reversal of 505533416415 is 514614335505.

It is a happy number.

It is not a de Polignac number, because 505533416415 - 2⁸ = 505533416159 is a prime.

It is a super-2 number, since 2×505533416415² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505533416419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29316366 + ... + 29333604.

It is an arithmetic number, because the mean of its divisors is an integer number (25379831520).

Almost surely, 2^505533416415 is an apocalyptic number.

505533416415 is a deficient number, since it is larger than the sum of its proper divisors (306621192225).

505533416415 is a wasteful number, since it uses less digits than its factorization.

505533416415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25111.

The product of its (nonzero) digits is 540000, while the sum is 42.

The spelling of 505533416415 in words is "five hundred five billion, five hundred thirty-three million, four hundred sixteen thousand, four hundred fifteen".