511215806052 has 144 divisors (see below), whose sum is σ = 1484043724800. Its totient is φ = 145350636480.

The previous prime is 511215806033. The next prime is 511215806053. The reversal of 511215806052 is 250608512115.

511215806052 is a `hidden beast` number, since 5 + 1 + 1 + 21 + 580 + 6 + 0 + 52 = 666.

It is a super-2 number, since 2×511215806052² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 511215805998 and 511215806016.

It is not an unprimeable number, because it can be changed into a prime (511215806053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 169781227 + ... + 169784237.

It is an arithmetic number, because the mean of its divisors is an integer number (10305859200).

Almost surely, 2^511215806052 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 511215806052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742021862400).

511215806052 is an abundant number, since it is smaller than the sum of its proper divisors (972827918748).

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

511215806052 is a wasteful number, since it uses less digits than its factorization.

511215806052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6086 (or 6081 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 36.

The spelling of 511215806052 in words is "five hundred eleven billion, two hundred fifteen million, eight hundred six thousand, fifty-two".