252021260640 has 96 divisors (see below), whose sum is σ = 798023632896. Its totient is φ = 66853783040.

The previous prime is 252021260633. The next prime is 252021260641. The reversal of 252021260640 is 46062120252.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 252021260598 and 252021260607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252021260641) 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 15 ways as a sum of consecutive naturals, for example, 1282782 + ... + 1466141.

It is an arithmetic number, because the mean of its divisors is an integer number (8312746176).

Almost surely, 2^252021260640 is an apocalyptic number.

252021260640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252021260640 is an abundant number, since it is smaller than the sum of its proper divisors (546002372256).

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

252021260640 is a wasteful number, since it uses less digits than its factorization.

252021260640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2749132 (or 2749124 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 252021260640 its reverse (46062120252), we get a palindrome (298083380892).

It can be divided in two parts, 2520212 and 60640, that added together give a palindrome (2580852).

The spelling of 252021260640 in words is "two hundred fifty-two billion, twenty-one million, two hundred sixty thousand, six hundred forty".