202545252 has 192 divisors, whose sum is σ = 664957440. Its totient is φ = 51881472.

The previous prime is 202545197. The next prime is 202545253. The reversal of 202545252 is 252545202.

202545252 is a `hidden beast` number, since 202 + 5 + 452 + 5 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (202545253) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 363358 + ... + 363914.

It is an arithmetic number, because the mean of its divisors is an integer number (3463320).

Almost surely, 2^202545252 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 202545252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332478720).

202545252 is an abundant number, since it is smaller than the sum of its proper divisors (462412188).

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

202545252 is a wasteful number, since it uses less digits than its factorization.

202545252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 27.

The square root of 202545252 is about 14231.8393751475. The cubic root of 202545252 is about 587.2738850385.

The spelling of 202545252 in words is "two hundred two million, five hundred forty-five thousand, two hundred fifty-two".