506551656 has 128 divisors (see below), whose sum is σ = 1427005440. Its totient is φ = 148780800.

The previous prime is 506551651. The next prime is 506551693. The reversal of 506551656 is 656155605.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (506551651) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 802461 + ... + 803091.

It is an arithmetic number, because the mean of its divisors is an integer number (11148480).

Almost surely, 2^506551656 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 506551656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713502720).

506551656 is an abundant number, since it is smaller than the sum of its proper divisors (920453784).

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

506551656 is a wasteful number, since it uses less digits than its factorization.

506551656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 135000, while the sum is 39.

The square root of 506551656 is about 22506.7024683759. The cubic root of 506551656 is about 797.1521953733.

The spelling of 506551656 in words is "five hundred six million, five hundred fifty-one thousand, six hundred fifty-six".