1005530315505 has 32 divisors (see below), whose sum is σ = 1611763550208. Its totient is φ = 535311902400.

The previous prime is 1005530315501. The next prime is 1005530315507. The reversal of 1005530315505 is 5055130355001.

It is not a de Polignac number, because 1005530315505 - 2² = 1005530315501 is a prime.

It is a super-2 number, since 2×1005530315505² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1005530315501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22773400 + ... + 22817510.

It is an arithmetic number, because the mean of its divisors is an integer number (50367610944).

Almost surely, 2^{1005530315505} is an apocalyptic number.

1005530315505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1005530315505 is a deficient number, since it is larger than the sum of its proper divisors (606233234703).

1005530315505 is a wasteful number, since it uses less digits than its factorization.

1005530315505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46837.

The product of its (nonzero) digits is 28125, while the sum is 33.

The spelling of 1005530315505 in words is "one trillion, five billion, five hundred thirty million, three hundred fifteen thousand, five hundred five".