252435525534252 has 384 divisors, whose sum is σ = 706558035456000. Its totient is φ = 77733337651200.

The previous prime is 252435525534233. The next prime is 252435525534371.

252435525534252 is a `hidden beast` number, since 2 + 5 + 2 + 4 + 3 + 5 + 52 + 5 + 534 + 2 + 52 = 666.

252435525534252 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23567871177 + ... + 23567881887.

It is an arithmetic number, because the mean of its divisors is an integer number (1839994884000).

Almost surely, 2^{252435525534252} 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 252435525534252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353279017728000).

252435525534252 is an abundant number, since it is smaller than the sum of its proper divisors (454122509921748).

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

252435525534252 is a wasteful number, since it uses less digits than its factorization.

252435525534252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12654 (or 12646 counting only the distinct ones).

The product of its digits is 72000000, while the sum is 54.

The spelling of 252435525534252 in words is "two hundred fifty-two trillion, four hundred thirty-five billion, five hundred twenty-five million, five hundred thirty-four thousand, two hundred fifty-two".