581513473152 has 96 divisors (see below), whose sum is σ = 1676460487260. Its totient is φ = 193479321600.

The previous prime is 581513473139. The next prime is 581513473153. The reversal of 581513473152 is 251374315185.

581513473152 is a `hidden beast` number, since 5 + 8 + 15 + 13 + 473 + 152 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 581412350016 + 101123136 = 762504^2 + 10056^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 581513473098 and 581513473107.

It is not an unprimeable number, because it can be changed into a prime (581513473153) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 156702 + ... + 1089762.

Almost surely, 2^581513473152 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 581513473152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (838230243630).

581513473152 is an abundant number, since it is smaller than the sum of its proper divisors (1094947014108).

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

581513473152 is a wasteful number, since it uses less digits than its factorization.

581513473152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 933622 (or 933607 counting only the distinct ones).

The product of its digits is 504000, while the sum is 45.

The spelling of 581513473152 in words is "five hundred eighty-one billion, five hundred thirteen million, four hundred seventy-three thousand, one hundred fifty-two".