1005055610811 has 32 divisors (see below), whose sum is σ = 1621682270208. Its totient is φ = 540507463680.

The previous prime is 1005055610761. The next prime is 1005055610821. The reversal of 1005055610811 is 1180165505001.

It is not a de Polignac number, because 1005055610811 - 2⁷ = 1005055610683 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1005055610821) 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, 8750491 + ... + 8864603.

It is an arithmetic number, because the mean of its divisors is an integer number (50677570944).

Almost surely, 2^{1005055610811} is an apocalyptic number.

1005055610811 is a deficient number, since it is larger than the sum of its proper divisors (616626659397).

1005055610811 is a wasteful number, since it uses less digits than its factorization.

1005055610811 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138811.

The product of its (nonzero) digits is 6000, while the sum is 33.

The spelling of 1005055610811 in words is "one trillion, five billion, fifty-five million, six hundred ten thousand, eight hundred eleven".