1005511009077 has 24 divisors (see below), whose sum is σ = 1454143961088. Its totient is φ = 669538461600.

The previous prime is 1005511009039. The next prime is 1005511009109. The reversal of 1005511009077 is 7709001155001.

1005511009077 is a `hidden beast` number, since 1 + 0 + 0 + 551 + 10 + 0 + 90 + 7 + 7 = 666.

It is not a de Polignac number, because 1005511009077 - 2²⁶ = 1005443900213 is a prime.

It is a super-2 number, since 2×1005511009077² (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 (1005511009777) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27401452 + ... + 27438122.

It is an arithmetic number, because the mean of its divisors is an integer number (60589331712).

Almost surely, 2^{1005511009077} is an apocalyptic number.

It is an amenable number.

1005511009077 is a deficient number, since it is larger than the sum of its proper divisors (448632952011).

1005511009077 is a wasteful number, since it uses less digits than its factorization.

1005511009077 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40241 (or 40238 counting only the distinct ones).

The product of its (nonzero) digits is 11025, while the sum is 36.

The spelling of 1005511009077 in words is "one trillion, five billion, five hundred eleven million, nine thousand, seventy-seven".