552261848162255 has 64 divisors (see below), whose sum is σ = 872175689856000. Its totient is φ = 332395845586560.

The previous prime is 552261848162231. The next prime is 552261848162263.

552261848162255 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 552261848162255 - 2⁶ = 552261848162191 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 (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 504184217 + ... + 505278386.

It is an arithmetic number, because the mean of its divisors is an integer number (13627745154000).

Almost surely, 2^{552261848162255} is an apocalyptic number.

552261848162255 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

552261848162255 is a deficient number, since it is larger than the sum of its proper divisors (319913841693745).

552261848162255 is a wasteful number, since it uses less digits than its factorization.

552261848162255 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1009462669 (or 1009462655 counting only the distinct ones).

The product of its digits is 92160000, while the sum is 62.

The spelling of 552261848162255 in words is "five hundred fifty-two trillion, two hundred sixty-one billion, eight hundred forty-eight million, one hundred sixty-two thousand, two hundred fifty-five".