252548010 has 256 divisors, whose sum is σ = 820592640. Its totient is φ = 54432000.

The previous prime is 252548003. The next prime is 252548011. The reversal of 252548010 is 10845252.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (252548011) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1196805 + ... + 1197015.

It is an arithmetic number, because the mean of its divisors is an integer number (3205440).

Almost surely, 2^252548010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252548010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410296320).

252548010 is an abundant number, since it is smaller than the sum of its proper divisors (568044630).

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

252548010 is a wasteful number, since it uses less digits than its factorization.

252548010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 252548010 is about 15891.7591851878. The cubic root of 252548010 is about 632.0934891475.

The spelling of 252548010 in words is "two hundred fifty-two million, five hundred forty-eight thousand, ten".