252613183680 has 2240 divisors, whose sum is σ = 1182191915520. Its totient is φ = 50164531200.

The previous prime is 252613183651. The next prime is 252613183709. The reversal of 252613183680 is 86381316252.

252613183680 is a `hidden beast` number, since 2 + 526 + 1 + 3 + 18 + 36 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (252613183651) and next prime (252613183709).

It is a super-3 number, since 3×252613183680³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 319 ways as a sum of consecutive naturals, for example, 1197218775 + ... + 1197218985.

It is an arithmetic number, because the mean of its divisors is an integer number (527764248).

Almost surely, 2^252613183680 is an apocalyptic number.

252613183680 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 252613183680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591095957760).

252613183680 is an abundant number, since it is smaller than the sum of its proper divisors (929578731840).

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

252613183680 is a wasteful number, since it uses less digits than its factorization.

252613183680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 252613183680 in words is "two hundred fifty-two billion, six hundred thirteen million, one hundred eighty-three thousand, six hundred eighty".