511040115 has 48 divisors (see below), whose sum is σ = 939184896. Its totient is φ = 256608000.

The previous prime is 511040107. The next prime is 511040119.

It is a happy number.

511040115 is a `hidden beast` number, since 511 + 0 + 40 + 115 = 666.

511040115 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 511040115 - 2³ = 511040107 is a prime.

It is a super-2 number, since 2×511040115² = 522323998278426450, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (511040119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46665 + ... + 56565.

It is an arithmetic number, because the mean of its divisors is an integer number (19566352).

Almost surely, 2^511040115 is an apocalyptic number.

511040115 is a deficient number, since it is larger than the sum of its proper divisors (428144781).

511040115 is a wasteful number, since it uses less digits than its factorization.

511040115 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9980 (or 9977 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 18.

The square root of 511040115 is about 22606.1963850622. The cubic root of 511040115 is about 799.4997471449.

The spelling of 511040115 in words is "five hundred eleven million, forty thousand, one hundred fifteen".