252569520 has 180 divisors, whose sum is σ = 986834160. Its totient is φ = 57722112.

The previous prime is 252569491. The next prime is 252569521. The reversal of 252569520 is 25965252.

It is a tau number, because it is divible by the number of its divisors (180).

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 (252569521) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 31701 + ... + 38859.

It is an arithmetic number, because the mean of its divisors is an integer number (5482412).

Almost surely, 2^252569520 is an apocalyptic number.

252569520 is a gapful number since it is divisible by the number (20) 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 252569520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493417080).

252569520 is an abundant number, since it is smaller than the sum of its proper divisors (734264640).

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

252569520 is a wasteful number, since it uses less digits than its factorization.

252569520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7192 (or 7176 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 252569520 is about 15892.4359366335. The cubic root of 252569520 is about 632.1114341776. Note that the first 3 decimals are identical.

The spelling of 252569520 in words is "two hundred fifty-two million, five hundred sixty-nine thousand, five hundred twenty".