511081882020 has 108 divisors (see below), whose sum is σ = 1577004958620. Its totient is φ = 133978363008.

The previous prime is 511081882019. The next prime is 511081882063. The reversal of 511081882020 is 20288180115.

It can be written as a sum of positive squares in 2 ways, for example, as 322415009856 + 188666872164 = 567816^2 + 434358^2 .

It is a super-2 number, since 2×511081882020² (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 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 35 ways as a sum of consecutive naturals, for example, 218746 + ... + 1034414.

It is an arithmetic number, because the mean of its divisors is an integer number (14601897765).

Almost surely, 2^511081882020 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 511081882020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (788502479310).

511081882020 is an abundant number, since it is smaller than the sum of its proper divisors (1065923076600).

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

511081882020 is a wasteful number, since it uses less digits than its factorization.

511081882020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815802 (or 815738 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 36.

The spelling of 511081882020 in words is "five hundred eleven billion, eighty-one million, eight hundred eighty-two thousand, twenty".