511201127136 has 144 divisors (see below), whose sum is σ = 1562359582224. Its totient is φ = 145929240576.

The previous prime is 511201127111. The next prime is 511201127137. The reversal of 511201127136 is 631721102115.

511201127136 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×511201127136² (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 (511201127137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5376586 + ... + 5470838.

It is an arithmetic number, because the mean of its divisors is an integer number (10849719321).

Almost surely, 2^511201127136 is an apocalyptic number.

511201127136 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 511201127136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781179791112).

511201127136 is an abundant number, since it is smaller than the sum of its proper divisors (1051158455088).

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

511201127136 is a wasteful number, since it uses less digits than its factorization.

511201127136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95433 (or 95418 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 30.

The spelling of 511201127136 in words is "five hundred eleven billion, two hundred one million, one hundred twenty-seven thousand, one hundred thirty-six".