506331542140452 has 240 divisors, whose sum is σ = 1593204926544000. Its totient is φ = 136979571972096.

The previous prime is 506331542140397. The next prime is 506331542140481. The reversal of 506331542140452 is 254041245133605.

506331542140452 is a `hidden beast` number, since 5 + 0 + 6 + 3 + 3 + 1 + 54 + 2 + 140 + 452 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 506331542140398 and 506331542140407.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 78290674 + ... + 84510902.

It is an arithmetic number, because the mean of its divisors is an integer number (6638353860600).

Almost surely, 2^{506331542140452} 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 506331542140452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796602463272000).

506331542140452 is an abundant number, since it is smaller than the sum of its proper divisors (1086873384403548).

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

506331542140452 is a wasteful number, since it uses less digits than its factorization.

506331542140452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6222160 (or 6222149 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

The spelling of 506331542140452 in words is "five hundred six trillion, three hundred thirty-one billion, five hundred forty-two million, one hundred forty thousand, four hundred fifty-two".