511231132115 has 32 divisors (see below), whose sum is σ = 673299454464. Its totient is φ = 369559920640.

The previous prime is 511231132099. The next prime is 511231132147.

It is a happy number.

511231132115 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 511231132115 - 2⁴ = 511231132099 is a prime.

It is a super-3 number, since 3×511231132115³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6562322 + ... + 6639768.

It is an arithmetic number, because the mean of its divisors is an integer number (21040607952).

Almost surely, 2^511231132115 is an apocalyptic number.

511231132115 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

511231132115 is a deficient number, since it is larger than the sum of its proper divisors (162068322349).

511231132115 is a wasteful number, since it uses less digits than its factorization.

511231132115 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78187.

The product of its digits is 900, while the sum is 26.

It can be divided in two parts, 511231 and 132115, that added together give a palindrome (643346).

The spelling of 511231132115 in words is "five hundred eleven billion, two hundred thirty-one million, one hundred thirty-two thousand, one hundred fifteen".