252888731550 has 288 divisors, whose sum is σ = 842341211712. Its totient is φ = 52966103040.

The previous prime is 252888731539. The next prime is 252888731587. The reversal of 252888731550 is 55137888252.

252888731550 is a `hidden beast` number, since 2 + 5 + 2 + 8 + 8 + 87 + 3 + 1 + 550 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5587612 + ... + 5632688.

It is an arithmetic number, because the mean of its divisors is an integer number (2924795874).

Almost surely, 2^252888731550 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252888731550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421170605856).

252888731550 is an abundant number, since it is smaller than the sum of its proper divisors (589452480162).

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

252888731550 is a wasteful number, since it uses less digits than its factorization.

252888731550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45252 (or 45244 counting only the distinct ones).

The product of its (nonzero) digits is 5376000, while the sum is 54.

The spelling of 252888731550 in words is "two hundred fifty-two billion, eight hundred eighty-eight million, seven hundred thirty-one thousand, five hundred fifty".