253209852 has 162 divisors, whose sum is σ = 786888648. Its totient is φ = 68324256.

The previous prime is 253209823. The next prime is 253209857. The reversal of 253209852 is 258902352.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253209857) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 3205149 + ... + 3205227.

Almost surely, 2^253209852 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 253209852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393444324).

253209852 is an abundant number, since it is smaller than the sum of its proper divisors (533678796).

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

253209852 is a wasteful number, since it uses less digits than its factorization.

253209852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 253209852 is about 15912.5689943516. The cubic root of 253209852 is about 632.6451744856.

The spelling of 253209852 in words is "two hundred fifty-three million, two hundred nine thousand, eight hundred fifty-two".