355113311553 has 144 divisors (see below), whose sum is σ = 707845896576. Its totient is φ = 165676078080.

The previous prime is 355113311551. The next prime is 355113311557.

355113311553 is a `hidden beast` number, since 3 + 55 + 11 + 33 + 11 + 553 = 666.

355113311553 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 355113311553 - 2¹ = 355113311551 is a prime.

It is a super-2 number, since 2×355113311553² (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (355113311551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12318925 + ... + 12347717.

It is an arithmetic number, because the mean of its divisors is an integer number (4915596504).

Almost surely, 2^355113311553 is an apocalyptic number.

355113311553 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

355113311553 is a deficient number, since it is larger than the sum of its proper divisors (352732585023).

355113311553 is a wasteful number, since it uses less digits than its factorization.

355113311553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28904 (or 28864 counting only the distinct ones).

The product of its digits is 50625, while the sum is 36.

It can be divided in two parts, 355113 and 311553, that added together give a palindrome (666666).

The spelling of 355113311553 in words is "three hundred fifty-five billion, one hundred thirteen million, three hundred eleven thousand, five hundred fifty-three".