363115372532 has 72 divisors (see below), whose sum is σ = 753513348168. Its totient is φ = 152412282880.

The previous prime is 363115372531. The next prime is 363115372561. The reversal of 363115372532 is 235273511363.

It can be written as a sum of positive squares in 4 ways, for example, as 139760831716 + 223354540816 = 373846^2 + 472604^2 .

It is a super-3 number, since 3×363115372532³ (a number of 36 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 363115372532.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (363115372531) 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 23 ways as a sum of consecutive naturals, for example, 19748 + ... + 852420.

It is an arithmetic number, because the mean of its divisors is an integer number (10465463169).

Almost surely, 2^363115372532 is an apocalyptic number.

It is an amenable number.

363115372532 is an abundant number, since it is smaller than the sum of its proper divisors (390397975636).

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

363115372532 is a wasteful number, since it uses less digits than its factorization.

363115372532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832769 (or 832756 counting only the distinct ones).

The product of its digits is 340200, while the sum is 41.

Adding to 363115372532 its reverse (235273511363), we get a palindrome (598388883895).

The spelling of 363115372532 in words is "three hundred sixty-three billion, one hundred fifteen million, three hundred seventy-two thousand, five hundred thirty-two".