252011235040 has 48 divisors (see below), whose sum is σ = 595406624400. Its totient is φ = 100799400960.

The previous prime is 252011235031. The next prime is 252011235041. The reversal of 252011235040 is 40532110252.

It is a super-2 number, since 2×252011235040² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 252011234996 and 252011235014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252011235041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5887636 + ... + 5930284.

It is an arithmetic number, because the mean of its divisors is an integer number (12404304675).

Almost surely, 2^252011235040 is an apocalyptic number.

252011235040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252011235040 is an abundant number, since it is smaller than the sum of its proper divisors (343395389360).

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

252011235040 is a wasteful number, since it uses less digits than its factorization.

252011235040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79595 (or 79587 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 252011235040 its reverse (40532110252), we get a palindrome (292543345292).

The spelling of 252011235040 in words is "two hundred fifty-two billion, eleven million, two hundred thirty-five thousand, forty".