511778540 has 216 divisors, whose sum is σ = 1440517680. Its totient is φ = 151345152.

The previous prime is 511778513. The next prime is 511778549. The reversal of 511778540 is 45877115.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 511778494 and 511778503.

It is not an unprimeable number, because it can be changed into a prime (511778549) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3681791 + ... + 3681929.

Almost surely, 2^511778540 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 511778540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720258840).

511778540 is an abundant number, since it is smaller than the sum of its proper divisors (928739140).

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

511778540 is a wasteful number, since it uses less digits than its factorization.

511778540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 38.

The square root of 511778540 is about 22622.5228478170. The cubic root of 511778540 is about 799.8846396158.

The spelling of 511778540 in words is "five hundred eleven million, seven hundred seventy-eight thousand, five hundred forty".