552735585537255 has 144 divisors (see below), whose sum is σ = 1001155516320960. Its totient is φ = 281898701466624.

The previous prime is 552735585537211. The next prime is 552735585537259.

552735585537255 is a `hidden beast` number, since 5 + 5 + 2 + 7 + 3 + 5 + 5 + 85 + 537 + 2 + 5 + 5 = 666.

552735585537255 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 552735585537255 - 2¹⁴ = 552735585520871 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (552735585537259) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3281082987 + ... + 3281251443.

It is an arithmetic number, because the mean of its divisors is an integer number (6952468863340).

Almost surely, 2^{552735585537255} is an apocalyptic number.

552735585537255 is a deficient number, since it is larger than the sum of its proper divisors (448419930783705).

552735585537255 is a wasteful number, since it uses less digits than its factorization.

552735585537255 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169078 (or 169008 counting only the distinct ones).

The product of its digits is 5512500000, while the sum is 72.

The spelling of 552735585537255 in words is "five hundred fifty-two trillion, seven hundred thirty-five billion, five hundred eighty-five million, five hundred thirty-seven thousand, two hundred fifty-five".