553116611355 has 128 divisors (see below), whose sum is σ = 1110786048000. Its totient is φ = 228324633600.

The previous prime is 553116611353. The next prime is 553116611407.

553116611355 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 553116611355 - 2¹ = 553116611353 is a prime.

It is a super-2 number, since 2×553116611355² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (553116611353) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 118973071 + ... + 118977719.

It is an arithmetic number, because the mean of its divisors is an integer number (8678016000).

Almost surely, 2^553116611355 is an apocalyptic number.

553116611355 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

553116611355 is an abundant number, since it is smaller than the sum of its proper divisors (557669436645).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

553116611355 is a wasteful number, since it uses less digits than its factorization.

553116611355 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5345.

The product of its digits is 202500, while the sum is 42.

It can be divided in two parts, 55311 and 6611355, that added together give a palindrome (6666666).

The spelling of 553116611355 in words is "five hundred fifty-three billion, one hundred sixteen million, six hundred eleven thousand, three hundred fifty-five".