1005510505051 has 16 divisors (see below), whose sum is σ = 1164102105600. Its totient is φ = 860604036768.

The previous prime is 1005510505009. The next prime is 1005510505061. The reversal of 1005510505051 is 1505050155001.

1005510505051 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 1005510505051 - 2¹⁷ = 1005510373979 is a prime.

It is a super-2 number, since 2×1005510505051² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1005510505061) 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, 43295761 + ... + 43318978.

It is an arithmetic number, because the mean of its divisors is an integer number (72756381600).

Almost surely, 2^{1005510505051} is an apocalyptic number.

1005510505051 is a deficient number, since it is larger than the sum of its proper divisors (158591600549).

1005510505051 is a wasteful number, since it uses less digits than its factorization.

1005510505051 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86614818.

The product of its (nonzero) digits is 3125, while the sum is 28.

The spelling of 1005510505051 in words is "one trillion, five billion, five hundred ten million, five hundred five thousand, fifty-one".