581046109952 has 288 divisors, whose sum is σ = 1524566292480. Its totient is φ = 214122147840.

The previous prime is 581046109937. The next prime is 581046109967. The reversal of 581046109952 is 259901640185.

It is an interprime number because it is at equal distance from previous prime (581046109937) and next prime (581046109967).

It is a super-2 number, since 2×581046109952² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 581046109952.

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, 444564083 + ... + 444565389.

It is an arithmetic number, because the mean of its divisors is an integer number (5293632960).

Almost surely, 2^581046109952 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 581046109952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762283146240).

581046109952 is an abundant number, since it is smaller than the sum of its proper divisors (943520182528).

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

581046109952 is a wasteful number, since it uses less digits than its factorization.

581046109952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2547 (or 2533 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 50.

The spelling of 581046109952 in words is "five hundred eighty-one billion, forty-six million, one hundred nine thousand, nine hundred fifty-two".