1005115701711 has 32 divisors (see below), whose sum is σ = 1477384842240. Its totient is φ = 602752592000.

The previous prime is 1005115701641. The next prime is 1005115701719. The reversal of 1005115701711 is 1171075115001.

1005115701711 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 1005115701711 - 2¹⁷ = 1005115570639 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005115701719) 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, 5282650 + ... + 5469608.

It is an arithmetic number, because the mean of its divisors is an integer number (46168276320).

Almost surely, 2^{1005115701711} is an apocalyptic number.

1005115701711 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1005115701711 is a deficient number, since it is larger than the sum of its proper divisors (472269140529).

1005115701711 is a wasteful number, since it uses less digits than its factorization.

1005115701711 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188687.

The product of its (nonzero) digits is 1225, while the sum is 30.

The spelling of 1005115701711 in words is "one trillion, five billion, one hundred fifteen million, seven hundred one thousand, seven hundred eleven".