252603540 has 144 divisors (see below), whose sum is σ = 879610368. Its totient is φ = 57480192.

The previous prime is 252603539. The next prime is 252603577. The reversal of 252603540 is 45306252.

252603540 is a `hidden beast` number, since 2 + 5 + 2 + 603 + 54 + 0 = 666.

252603540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 545349 + ... + 545811.

Almost surely, 2^252603540 is an apocalyptic number.

252603540 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 252603540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439805184).

252603540 is an abundant number, since it is smaller than the sum of its proper divisors (627006828).

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

252603540 is a wasteful number, since it uses less digits than its factorization.

252603540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918 (or 913 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 252603540 is about 15893.5062210955. The cubic root of 252603540 is about 632.1398137772.

Adding to 252603540 its reverse (45306252), we get a palindrome (297909792).

The spelling of 252603540 in words is "two hundred fifty-two million, six hundred three thousand, five hundred forty".