511628652 has 72 divisors (see below), whose sum is σ = 1378331136. Its totient is φ = 159645024.

The previous prime is 511628647. The next prime is 511628653. The reversal of 511628652 is 256826115.

511628652 is a `hidden beast` number, since 511 + 62 + 86 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (511628653) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32343 + ... + 45489.

It is an arithmetic number, because the mean of its divisors is an integer number (19143488).

Almost surely, 2^511628652 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 511628652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689165568).

511628652 is an abundant number, since it is smaller than the sum of its proper divisors (866702484).

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

511628652 is a wasteful number, since it uses less digits than its factorization.

511628652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13227 (or 13222 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 511628652 is about 22619.2098005213. The cubic root of 511628652 is about 799.8065428050.

The spelling of 511628652 in words is "five hundred eleven million, six hundred twenty-eight thousand, six hundred fifty-two".