463553257505305 has 8 divisors (see below), whose sum is σ = 606833355279744. Its totient is φ = 337129641822000.

The previous prime is 463553257505267. The next prime is 463553257505321. The reversal of 463553257505305 is 503505752355364.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 463553257505305 - 2⁹ = 463553257504793 is a prime.

It is a super-3 number, since 3×463553257505305³ (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 463553257505305.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4214120522721 + ... + 4214120522830.

It is an arithmetic number, because the mean of its divisors is an integer number (75854169409968).

Almost surely, 2^{463553257505305} is an apocalyptic number.

It is an amenable number.

463553257505305 is a deficient number, since it is larger than the sum of its proper divisors (143280097774439).

463553257505305 is a wasteful number, since it uses less digits than its factorization.

463553257505305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8428241045567.

The product of its (nonzero) digits is 141750000, while the sum is 58.

The spelling of 463553257505305 in words is "four hundred sixty-three trillion, five hundred fifty-three billion, two hundred fifty-seven million, five hundred five thousand, three hundred five".