511351133142352 has 160 divisors (see below), whose sum is σ = 1079594871505920. Its totient is φ = 233831360286720.

The previous prime is 511351133142349. The next prime is 511351133142361. The reversal of 511351133142352 is 253241331153115.

It is a super-2 number, since 2×511351133142352² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 941840727 + ... + 942383497.

It is an arithmetic number, because the mean of its divisors is an integer number (6747467946912).

Almost surely, 2^{511351133142352} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 511351133142352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539797435752960).

511351133142352 is an abundant number, since it is smaller than the sum of its proper divisors (568243738363568).

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

511351133142352 is a wasteful number, since it uses less digits than its factorization.

511351133142352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543681 (or 543675 counting only the distinct ones).

The product of its digits is 162000, while the sum is 40.

Adding to 511351133142352 its reverse (253241331153115), we get a palindrome (764592464295467).

The spelling of 511351133142352 in words is "five hundred eleven trillion, three hundred fifty-one billion, one hundred thirty-three million, one hundred forty-two thousand, three hundred fifty-two".