506601079452 has 144 divisors (see below), whose sum is σ = 1458008916000. Its totient is φ = 147027737088.

The previous prime is 506601079423. The next prime is 506601079463. The reversal of 506601079452 is 254970106605.

506601079452 is a `hidden beast` number, since 506 + 6 + 0 + 1 + 0 + 7 + 94 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 506601079398 and 506601079407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1911874 + ... + 2160662.

Almost surely, 2^506601079452 is an apocalyptic number.

506601079452 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506601079452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729004458000).

506601079452 is an abundant number, since it is smaller than the sum of its proper divisors (951407836548).

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

506601079452 is a wasteful number, since it uses less digits than its factorization.

506601079452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249060 (or 249055 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 506601079452 in words is "five hundred six billion, six hundred one million, seventy-nine thousand, four hundred fifty-two".