575325319842 has 360 divisors, whose sum is σ = 1607180535324. Its totient is φ = 147800225664.

The previous prime is 575325319837. The next prime is 575325319879. The reversal of 575325319842 is 248913523575.

575325319842 is a `hidden beast` number, since 5 + 7 + 532 + 53 + 19 + 8 + 42 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 571567752441 + 3757567401 = 756021^2 + 61299^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 4139031009 + ... + 4139031147.

Almost surely, 2^575325319842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 575325319842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803590267662).

575325319842 is an abundant number, since it is smaller than the sum of its proper divisors (1031855215482).

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

575325319842 is a wasteful number, since it uses less digits than its factorization.

575325319842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 217 counting only the distinct ones).

The product of its digits is 9072000, while the sum is 54.

The spelling of 575325319842 in words is "five hundred seventy-five billion, three hundred twenty-five million, three hundred nineteen thousand, eight hundred forty-two".