1005505331 has 4 divisors (see below), whose sum is σ = 1005568752. Its totient is φ = 1005441912.

The previous prime is 1005505253. The next prime is 1005505339. The reversal of 1005505331 is 1335055001.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 1005505331 - 2¹⁰ = 1005504307 is a prime.

It is a super-2 number, since 2×1005505331² = 2022081941338839122, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1005505297 and 1005505306.

It is not an unprimeable number, because it can be changed into a prime (1005505339) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15650 + ... + 47496.

It is an arithmetic number, because the mean of its divisors is an integer number (251392188).

Almost surely, 2^1005505331 is an apocalyptic number.

1005505331 is a deficient number, since it is larger than the sum of its proper divisors (63421).

1005505331 is an equidigital number, since it uses as much as digits as its factorization.

1005505331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63420.

The product of its (nonzero) digits is 1125, while the sum is 23.

The square root of 1005505331 is about 31709.7040509684. The cubic root of 1005505331 is about 1001.8317529657.

The spelling of 1005505331 in words is "one billion, five million, five hundred five thousand, three hundred thirty-one".