1005610000505 has 32 divisors (see below), whose sum is σ = 1373781565440. Its totient is φ = 699498585280.

The previous prime is 1005610000501. The next prime is 1005610000511. The reversal of 1005610000505 is 5050000165001.

It is not a de Polignac number, because 1005610000505 - 2² = 1005610000501 is a prime.

It is a super-2 number, since 2×1005610000505² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is not an unprimeable number, because it can be changed into a prime (1005610000501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21409436 + ... + 21456354.

It is an arithmetic number, because the mean of its divisors is an integer number (42930673920).

Almost surely, 2^{1005610000505} is an apocalyptic number.

It is an amenable number.

1005610000505 is a deficient number, since it is larger than the sum of its proper divisors (368171564935).

1005610000505 is a wasteful number, since it uses less digits than its factorization.

1005610000505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63901.

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

Adding to 1005610000505 its reverse (5050000165001), we get a palindrome (6055610165506).

The spelling of 1005610000505 in words is "one trillion, five billion, six hundred ten million, five hundred five", and thus it is an aban number.