506246100552 has 512 divisors, whose sum is σ = 1618790400000. Its totient is φ = 145712286720.

The previous prime is 506246100499. The next prime is 506246100553. The reversal of 506246100552 is 255001642605.

506246100552 is a `hidden beast` number, since 5 + 0 + 62 + 46 + 1 + 0 + 0 + 552 = 666.

It is a super-2 number, since 2×506246100552² (a number of 24 digits) contains 22 as substring.

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 (506246100553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 216250902 + ... + 216253242.

It is an arithmetic number, because the mean of its divisors is an integer number (3161700000).

Almost surely, 2^506246100552 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 506246100552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809395200000).

506246100552 is an abundant number, since it is smaller than the sum of its proper divisors (1112544299448).

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

506246100552 is a wasteful number, since it uses less digits than its factorization.

506246100552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2506 (or 2496 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 506246100552 in words is "five hundred six billion, two hundred forty-six million, one hundred thousand, five hundred fifty-two".