252516650340 has 96 divisors (see below), whose sum is σ = 718852942080. Its totient is φ = 66218252800.

The previous prime is 252516650333. The next prime is 252516650357. The reversal of 252516650340 is 43056615252.

252516650340 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×252516650340³ (a number of 35 digits) contains 333 as substring.

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 31 ways as a sum of consecutive naturals, for example, 1580950 + ... + 1733330.

It is an arithmetic number, because the mean of its divisors is an integer number (7488051480).

Almost surely, 2^252516650340 is an apocalyptic number.

252516650340 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 252516650340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359426471040).

252516650340 is an abundant number, since it is smaller than the sum of its proper divisors (466336291740).

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

252516650340 is a wasteful number, since it uses less digits than its factorization.

252516650340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152853 (or 152851 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 39.

The spelling of 252516650340 in words is "two hundred fifty-two billion, five hundred sixteen million, six hundred fifty thousand, three hundred forty".