252817431552 has 704 divisors, whose sum is σ = 907885440000. Its totient is φ = 67889332224.

The previous prime is 252817431541. The next prime is 252817431563. The reversal of 252817431552 is 255134718252.

252817431552 is a `hidden beast` number, since 2 + 5 + 28 + 1 + 74 + 3 + 1 + 552 = 666.

252817431552 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (252817431541) and next prime (252817431563).

It is a junction number, because it is equal to n+sod(n) for n = 252817431498 and 252817431507.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 724405074 + ... + 724405422.

It is an arithmetic number, because the mean of its divisors is an integer number (1289610000).

Almost surely, 2^252817431552 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 252817431552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453942720000).

252817431552 is an abundant number, since it is smaller than the sum of its proper divisors (655068008448).

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

252817431552 is a wasteful number, since it uses less digits than its factorization.

252817431552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601 (or 577 counting only the distinct ones).

The product of its digits is 672000, while the sum is 45.

The spelling of 252817431552 in words is "two hundred fifty-two billion, eight hundred seventeen million, four hundred thirty-one thousand, five hundred fifty-two".