506615656000 has 56 divisors (see below), whose sum is σ = 1254633691896. Its totient is φ = 202646259200.

The previous prime is 506615655983. The next prime is 506615656003. The reversal of 506615656000 is 656516605.

It can be written as a sum of positive squares in 4 ways, for example, as 47224505344 + 459391150656 = 217312^2 + 677784^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (506615656003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31655479 + ... + 31671478.

Almost surely, 2^506615656000 is an apocalyptic number.

506615656000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

506615656000 is an abundant number, since it is smaller than the sum of its proper divisors (748018035896).

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

506615656000 is an equidigital number, since it uses as much as digits as its factorization.

506615656000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63326984 (or 63326964 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 40.

The spelling of 506615656000 in words is "five hundred six billion, six hundred fifteen million, six hundred fifty-six thousand".