1005055510511 has 16 divisors (see below), whose sum is σ = 1146838492800. Its totient is φ = 872559088128.

The previous prime is 1005055510483. The next prime is 1005055510519. The reversal of 1005055510511 is 1150155505001.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-1005055510511 is a prime.

It is a super-2 number, since 2×1005055510511² (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 (1005055510519) 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, 1275431 + ... + 1907048.

It is an arithmetic number, because the mean of its divisors is an integer number (71677405800).

Almost surely, 2^{1005055510511} is an apocalyptic number.

1005055510511 is a deficient number, since it is larger than the sum of its proper divisors (141782982289).

1005055510511 is a wasteful number, since it uses less digits than its factorization.

1005055510511 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3183938.

The product of its (nonzero) digits is 3125, while the sum is 29.

The spelling of 1005055510511 in words is "one trillion, five billion, fifty-five million, five hundred ten thousand, five hundred eleven".