252503546940 has 480 divisors, whose sum is σ = 870771021120. Its totient is φ = 60966936576.

The previous prime is 252503546903. The next prime is 252503546959. The reversal of 252503546940 is 49645305252.

252503546940 is a `hidden beast` number, since 2 + 5 + 2 + 503 + 54 + 6 + 94 + 0 = 666.

252503546940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 159 ways as a sum of consecutive naturals, for example, 372973882 + ... + 372974558.

It is an arithmetic number, because the mean of its divisors is an integer number (1814106294).

Almost surely, 2^252503546940 is an apocalyptic number.

252503546940 is a gapful number since it is divisible by the number (20) 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 252503546940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435385510560).

252503546940 is an abundant number, since it is smaller than the sum of its proper divisors (618267474180).

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

252503546940 is a wasteful number, since it uses less digits than its factorization.

252503546940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1211 (or 1200 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 252503546940 in words is "two hundred fifty-two billion, five hundred three million, five hundred forty-six thousand, nine hundred forty".