511066920 has 256 divisors, whose sum is σ = 1998743040. Its totient is φ = 101449728.

The previous prime is 511066901. The next prime is 511066943. The reversal of 511066920 is 29660115.

It is a super-2 number, since 2×511066920² = 522378793436572800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 184264 + ... + 187016.

It is an arithmetic number, because the mean of its divisors is an integer number (7807590).

Almost surely, 2^511066920 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 511066920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (999371520).

511066920 is an abundant number, since it is smaller than the sum of its proper divisors (1487676120).

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

511066920 is a wasteful number, since it uses less digits than its factorization.

511066920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2804 (or 2800 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 511066920 is about 22606.7892457111. The cubic root of 511066920 is about 799.5137253144.

The spelling of 511066920 in words is "five hundred eleven million, sixty-six thousand, nine hundred twenty".