52785521040252 has 768 divisors, whose sum is σ = 181847457792000. Its totient is φ = 11455514864640.

The previous prime is 52785521040251. The next prime is 52785521040283. The reversal of 52785521040252 is 25204012558725.

It is a super-2 number, since 2×52785521040252² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52785521040251) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5076013749 + ... + 5076024147.

It is an arithmetic number, because the mean of its divisors is an integer number (236780544000).

Almost surely, 2^{52785521040252} is an apocalyptic number.

52785521040252 is a gapful number since it is divisible by the number (52) 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 52785521040252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90923728896000).

52785521040252 is an abundant number, since it is smaller than the sum of its proper divisors (129061936751748).

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

52785521040252 is a wasteful number, since it uses less digits than its factorization.

52785521040252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11446 (or 11444 counting only the distinct ones).

The product of its (nonzero) digits is 2240000, while the sum is 48.

Adding to 52785521040252 its reverse (25204012558725), we get a palindrome (77989533598977).

The spelling of 52785521040252 in words is "fifty-two trillion, seven hundred eighty-five billion, five hundred twenty-one million, forty thousand, two hundred fifty-two".