1005506061 has 16 divisors (see below), whose sum is σ = 1533172224. Its totient is φ = 574210224.

The previous prime is 1005506059. The next prime is 1005506063. The reversal of 1005506061 is 1606055001.

It is an interprime number because it is at equal distance from previous prime (1005506059) and next prime (1005506063).

It is not a de Polignac number, because 1005506061 - 2¹ = 1005506059 is a prime.

It is a super-2 number, since 2×1005506061² = 2022084877415471442, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005506063) 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 15 ways as a sum of consecutive naturals, for example, 20646 + ... + 49368.

It is an arithmetic number, because the mean of its divisors is an integer number (95823264).

Almost surely, 2^1005506061 is an apocalyptic number.

It is an amenable number.

1005506061 is a deficient number, since it is larger than the sum of its proper divisors (527666163).

1005506061 is a wasteful number, since it uses less digits than its factorization.

1005506061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30400.

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 1005506061 is about 31709.7155616382. The cubic root of 1005506061 is about 1001.8319954100.

The spelling of 1005506061 in words is "one billion, five million, five hundred six thousand, sixty-one".