552461164255 has 64 divisors (see below), whose sum is σ = 891141285888. Its totient is φ = 317534722560.

The previous prime is 552461164183. The next prime is 552461164267.

552461164255 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 552461164255 - 2³⁵ = 518101425887 is a prime.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 4326454 + ... + 4452316.

It is an arithmetic number, because the mean of its divisors is an integer number (13924082592).

Almost surely, 2^552461164255 is an apocalyptic number.

552461164255 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

552461164255 is a deficient number, since it is larger than the sum of its proper divisors (338680121633).

552461164255 is a wasteful number, since it uses less digits than its factorization.

552461164255 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126776.

The product of its digits is 1440000, while the sum is 46.

The spelling of 552461164255 in words is "five hundred fifty-two billion, four hundred sixty-one million, one hundred sixty-four thousand, two hundred fifty-five".