5577613305 has 64 divisors (see below), whose sum is σ = 10329292800. Its totient is φ = 2541611520.

The previous prime is 5577613277. The next prime is 5577613319. The reversal of 5577613305 is 5033167755.

It is not a de Polignac number, because 5577613305 - 2⁶ = 5577613241 is a prime.

It is a super-2 number, since 2×5577613305² = 62219540360226046050, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 391141 + ... + 405149.

It is an arithmetic number, because the mean of its divisors is an integer number (161395200).

Almost surely, 2^5577613305 is an apocalyptic number.

5577613305 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5577613305 is a deficient number, since it is larger than the sum of its proper divisors (4751679495).

5577613305 is a wasteful number, since it uses less digits than its factorization.

5577613305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14174.

The product of its (nonzero) digits is 330750, while the sum is 42.

The square root of 5577613305 is about 74683.4205496776. The cubic root of 5577613305 is about 1773.4385055925.

The spelling of 5577613305 in words is "five billion, five hundred seventy-seven million, six hundred thirteen thousand, three hundred five".