511873656 has 128 divisors (see below), whose sum is σ = 1497000960. Its totient is φ = 142848000.

The previous prime is 511873639. The next prime is 511873669. The reversal of 511873656 is 656378115.

It is a Harshad number since it is a multiple of its sum of digits (42).

Its product of digits (151200) is a multiple of the sum of its prime factors (525).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1645741 + ... + 1646051.

It is an arithmetic number, because the mean of its divisors is an integer number (11695320).

Almost surely, 2^511873656 is an apocalyptic number.

511873656 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 511873656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748500480).

511873656 is an abundant number, since it is smaller than the sum of its proper divisors (985127304).

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

511873656 is a wasteful number, since it uses less digits than its factorization.

511873656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 521 counting only the distinct ones).

The product of its digits is 151200, while the sum is 42.

The square root of 511873656 is about 22624.6249913673. The cubic root of 511873656 is about 799.9341904199.

The spelling of 511873656 in words is "five hundred eleven million, eight hundred seventy-three thousand, six hundred fifty-six".