252537640 has 32 divisors (see below), whose sum is σ = 571843080. Its totient is φ = 100369152.

The previous prime is 252537629. The next prime is 252537643. The reversal of 252537640 is 46735252.

252537640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 172291876 + 80245764 = 13126^2 + 8958^2 .

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 252537596 and 252537605.

It is not an unprimeable number, because it can be changed into a prime (252537643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13827 + ... + 26386.

Almost surely, 2^252537640 is an apocalyptic number.

252537640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252537640 is an abundant number, since it is smaller than the sum of its proper divisors (319305440).

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

252537640 is a wasteful number, since it uses less digits than its factorization.

252537640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40381 (or 40377 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 34.

The square root of 252537640 is about 15891.4329121071. The cubic root of 252537640 is about 632.0848374602.

The spelling of 252537640 in words is "two hundred fifty-two million, five hundred thirty-seven thousand, six hundred forty".