511312603113 has 96 divisors (see below), whose sum is σ = 846686131200. Its totient is φ = 306417992256.

The previous prime is 511312603111. The next prime is 511312603163. The reversal of 511312603113 is 311306213115.

It is a happy number.

511312603113 is a `hidden beast` number, since 5 + 11 + 31 + 2 + 603 + 1 + 13 = 666.

It is not a de Polignac number, because 511312603113 - 2¹ = 511312603111 is a prime.

It is a super-2 number, since 2×511312603113² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (511312603111) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19929948 + ... + 19955586.

It is an arithmetic number, because the mean of its divisors is an integer number (8819647200).

Almost surely, 2^511312603113 is an apocalyptic number.

It is an amenable number.

511312603113 is a deficient number, since it is larger than the sum of its proper divisors (335373528087).

511312603113 is a wasteful number, since it uses less digits than its factorization.

511312603113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25833 (or 25821 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

Adding to 511312603113 its reverse (311306213115), we get a palindrome (822618816228).

The spelling of 511312603113 in words is "five hundred eleven billion, three hundred twelve million, six hundred three thousand, one hundred thirteen".