511006056 has 64 divisors (see below), whose sum is σ = 1399956480. Its totient is φ = 154150080.

The previous prime is 511006051. The next prime is 511006081. The reversal of 511006056 is 650600115.

It is a super-2 number, since 2×511006056² = 522254378537350272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (511006051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55665 + ... + 64191.

It is an arithmetic number, because the mean of its divisors is an integer number (21874320).

Almost surely, 2^511006056 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 511006056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699978240).

511006056 is an abundant number, since it is smaller than the sum of its proper divisors (888950424).

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

511006056 is a wasteful number, since it uses less digits than its factorization.

511006056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8774 (or 8770 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 511006056 is about 22605.4430613514. The cubic root of 511006056 is about 799.4819854819.

The spelling of 511006056 in words is "five hundred eleven million, six thousand, fifty-six".