506543606346552 has 128 divisors (see below), whose sum is σ = 1302474522585600. Its totient is φ = 164045890137600.

The previous prime is 506543606346511. The next prime is 506543606346563. The reversal of 506543606346552 is 255643606345605.

It is a super-2 number, since 2×506543606346552² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1820251102 + ... + 1820529362.

It is an arithmetic number, because the mean of its divisors is an integer number (10175582207700).

Almost surely, 2^{506543606346552} 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 506543606346552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651237261292800).

506543606346552 is an abundant number, since it is smaller than the sum of its proper divisors (795930916239048).

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

506543606346552 is a wasteful number, since it uses less digits than its factorization.

506543606346552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281277 (or 281273 counting only the distinct ones).

The product of its (nonzero) digits is 233280000, while the sum is 60.

The spelling of 506543606346552 in words is "five hundred six trillion, five hundred forty-three billion, six hundred six million, three hundred forty-six thousand, five hundred fifty-two".