1007011070511 has 16 divisors (see below), whose sum is σ = 1386052190208. Its totient is φ = 649657159200.

The previous prime is 1007011070501. The next prime is 1007011070531. The reversal of 1007011070511 is 1150701107001.

1007011070511 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1007011070511 - 2⁶ = 1007011070447 is a prime.

It is a super-2 number, since 2×1007011070511² (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 (1007011070501) 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, 2117281 + ... + 2548901.

It is an arithmetic number, because the mean of its divisors is an integer number (86628261888).

Almost surely, 2^{1007011070511} is an apocalyptic number.

1007011070511 is a deficient number, since it is larger than the sum of its proper divisors (379041119697).

1007011070511 is a wasteful number, since it uses less digits than its factorization.

1007011070511 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456742.

The product of its (nonzero) digits is 245, while the sum is 24.

Adding to 1007011070511 its reverse (1150701107001), we get a palindrome (2157712177512).

The spelling of 1007011070511 in words is "one trillion, seven billion, eleven million, seventy thousand, five hundred eleven".