252241404142252 has 96 divisors (see below), whose sum is σ = 537001467591680. Its totient is φ = 101266046449920.

The previous prime is 252241404142241. The next prime is 252241404142283.

252241404142252 is nontrivially palindromic in base 10.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 32738098 + ... + 39702214.

Almost surely, 2^{252241404142252} 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 252241404142252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268500733795840).

252241404142252 is an abundant number, since it is smaller than the sum of its proper divisors (284760063449428).

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

252241404142252 is a wasteful number, since it uses less digits than its factorization.

252241404142252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6964911 (or 6964909 counting only the distinct ones).

The product of its (nonzero) digits is 409600, while the sum is 40.

It can be divided in two parts, 25224140 and 4142252, that added together give a palindrome (29366392).

The spelling of 252241404142252 in words is "two hundred fifty-two trillion, two hundred forty-one billion, four hundred four million, one hundred forty-two thousand, two hundred fifty-two".