505013272774353 has 16 divisors (see below), whose sum is σ = 855048927448960. Its totient is φ = 288579013013808.

The previous prime is 505013272774343. The next prime is 505013272774357. The reversal of 505013272774353 is 353477272310505.

505013272774353 is a `hidden beast` number, since 5 + 0 + 5 + 0 + 1 + 327 + 277 + 43 + 5 + 3 = 666.

It is not a de Polignac number, because 505013272774353 - 2⁸ = 505013272774097 is a prime.

It is a super-3 number, since 3×505013272774353³ (a number of 45 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 505013272774353.

It is not an unprimeable number, because it can be changed into a prime (505013272774357) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1336013948950 + ... + 1336013949327.

It is an arithmetic number, because the mean of its divisors is an integer number (53440557965560).

Almost surely, 2^{505013272774353} is an apocalyptic number.

It is an amenable number.

505013272774353 is a deficient number, since it is larger than the sum of its proper divisors (350035654674607).

505013272774353 is a wasteful number, since it uses less digits than its factorization.

505013272774353 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2672027898293 (or 2672027898287 counting only the distinct ones).

The product of its (nonzero) digits is 18522000, while the sum is 54.

The spelling of 505013272774353 in words is "five hundred five trillion, thirteen billion, two hundred seventy-two million, seven hundred seventy-four thousand, three hundred fifty-three".