252786524387952 has 160 divisors (see below), whose sum is σ = 670696977646080. Its totient is φ = 81993600000000.

The previous prime is 252786524387951. The next prime is 252786524387989. The reversal of 252786524387952 is 259783425687252.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252786524387951) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2808662952 + ... + 2808752952.

It is an arithmetic number, because the mean of its divisors is an integer number (4191856110288).

Almost surely, 2^{252786524387952} 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 252786524387952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335348488823040).

252786524387952 is an abundant number, since it is smaller than the sum of its proper divisors (417910453258128).

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

252786524387952 is a wasteful number, since it uses less digits than its factorization.

252786524387952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93743 (or 93737 counting only the distinct ones).

The product of its digits is 4064256000, while the sum is 75.

The spelling of 252786524387952 in words is "two hundred fifty-two trillion, seven hundred eighty-six billion, five hundred twenty-four million, three hundred eighty-seven thousand, nine hundred fifty-two".