235613404316532 has 144 divisors (see below), whose sum is σ = 610361563597632. Its totient is φ = 70680456000000.

The previous prime is 235613404316473. The next prime is 235613404316539.

235613404316532 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235613404316539) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1003128907 + ... + 1003363757.

It is an arithmetic number, because the mean of its divisors is an integer number (4238621969428).

Almost surely, 2^{235613404316532} is an apocalyptic number.

235613404316532 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 235613404316532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305180781798816).

235613404316532 is an abundant number, since it is smaller than the sum of its proper divisors (374748159281100).

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

235613404316532 is a wasteful number, since it uses less digits than its factorization.

235613404316532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241822 (or 241809 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 48.

It can be divided in two parts, 23561340 and 4316532, that added together give a palindrome (27877872).

The spelling of 235613404316532 in words is "two hundred thirty-five trillion, six hundred thirteen billion, four hundred four million, three hundred sixteen thousand, five hundred thirty-two".