252851544 has 160 divisors (see below), whose sum is σ = 813700800. Its totient is φ = 72550080.

The previous prime is 252851537. The next prime is 252851569. The reversal of 252851544 is 445158252.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 252851499 and 252851508.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 134499 + ... + 136365.

It is an arithmetic number, because the mean of its divisors is an integer number (5085630).

Almost surely, 2^252851544 is an apocalyptic number.

252851544 is a gapful number since it is divisible by the number (24) 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 252851544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406850400).

252851544 is an abundant number, since it is smaller than the sum of its proper divisors (560849256).

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

252851544 is a wasteful number, since it uses less digits than its factorization.

252851544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1915 (or 1902 counting only the distinct ones).

The product of its digits is 64000, while the sum is 36.

The square root of 252851544 is about 15901.3063614283. The cubic root of 252851544 is about 632.3466226026.

The spelling of 252851544 in words is "two hundred fifty-two million, eight hundred fifty-one thousand, five hundred forty-four".