252801612 has 144 divisors (see below), whose sum is σ = 790083840. Its totient is φ = 66531456.

The previous prime is 252801583. The next prime is 252801617. The reversal of 252801612 is 216108252.

It is a happy number.

252801612 is a `hidden beast` number, since 25 + 28 + 0 + 1 + 612 = 666.

It is not an unprimeable number, because it can be changed into a prime (252801617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 176443 + ... + 177869.

Almost surely, 2^252801612 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252801612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395041920).

252801612 is an abundant number, since it is smaller than the sum of its proper divisors (537282228).

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

252801612 is a wasteful number, since it uses less digits than its factorization.

252801612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1500 (or 1495 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 252801612 is about 15899.7362242271. The cubic root of 252801612 is about 632.3049955281.

Adding to 252801612 its reverse (216108252), we get a palindrome (468909864).

The spelling of 252801612 in words is "two hundred fifty-two million, eight hundred one thousand, six hundred twelve".