1005510000495 has 96 divisors (see below), whose sum is σ = 2198661857280. Its totient is φ = 385730069760.

The previous prime is 1005510000491. The next prime is 1005510000503. The reversal of 1005510000495 is 5940000155001.

It is not a de Polignac number, because 1005510000495 - 2² = 1005510000491 is a prime.

It is a super-2 number, since 2×1005510000495² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005510000491) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4678255 + ... + 4888464.

It is an arithmetic number, because the mean of its divisors is an integer number (22902727680).

Almost surely, 2^{1005510000495} is an apocalyptic number.

1005510000495 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1005510000495 is an abundant number, since it is smaller than the sum of its proper divisors (1193151856785).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1005510000495 is a wasteful number, since it uses less digits than its factorization.

1005510000495 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9566765 (or 9566758 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 30.

Adding to 1005510000495 its reverse (5940000155001), we get a palindrome (6945510155496).

The spelling of 1005510000495 in words is "one trillion, five billion, five hundred ten million, four hundred ninety-five", and thus it is an aban number.