511235013135 has 192 divisors, whose sum is σ = 1066111248384. Its totient is φ = 206764185600.

The previous prime is 511235013109. The next prime is 511235013137. The reversal of 511235013135 is 531310532115.

It is not a de Polignac number, because 511235013135 - 2¹⁶ = 511234947599 is a prime.

It is a super-2 number, since 2×511235013135² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (511235013137) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 68775379 + ... + 68782811.

It is an arithmetic number, because the mean of its divisors is an integer number (5552662752).

Almost surely, 2^511235013135 is an apocalyptic number.

511235013135 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

511235013135 is an abundant number, since it is smaller than the sum of its proper divisors (554876235249).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

511235013135 is a wasteful number, since it uses less digits than its factorization.

511235013135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7694 (or 7687 counting only the distinct ones).

The product of its (nonzero) digits is 6750, while the sum is 30.

The spelling of 511235013135 in words is "five hundred eleven billion, two hundred thirty-five million, thirteen thousand, one hundred thirty-five".