1005505061 has 16 divisors (see below), whose sum is σ = 1163108160. Its totient is φ = 859639680.

The previous prime is 1005505049. The next prime is 1005505063. The reversal of 1005505061 is 1605055001.

It is a cyclic number.

It is not a de Polignac number, because 1005505061 - 2²⁶ = 938396197 is a prime.

It is a super-2 number, since 2×1005505061² = 2022080855393227442, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005505063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11075 + ... + 46191.

It is an arithmetic number, because the mean of its divisors is an integer number (72694260).

Almost surely, 2^1005505061 is an apocalyptic number.

1005505061 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1005505061 is a deficient number, since it is larger than the sum of its proper divisors (157603099).

1005505061 is a wasteful number, since it uses less digits than its factorization.

1005505061 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35284.

The product of its (nonzero) digits is 750, while the sum is 23.

The square root of 1005505061 is about 31709.6997935963. The cubic root of 1005505061 is about 1001.8316632945.

The spelling of 1005505061 in words is "one billion, five million, five hundred five thousand, sixty-one".