2528253000 has 800 divisors, whose sum is σ = 11103051960. Its totient is φ = 533433600.

The previous prime is 2528252981. The next prime is 2528253001. The reversal of 2528253000 is 3528252.

2528253000 is a `hidden beast` number, since 2 + 52 + 82 + 530 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 343064484 + 2185188516 = 18522^2 + 46746^2 .

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 (2528253001) by changing a digit.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 194480994 + ... + 194481006.

Almost surely, 2^2528253000 is an apocalyptic number.

2528253000 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 2528253000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5551525980).

2528253000 is an abundant number, since it is smaller than the sum of its proper divisors (8574798960).

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

2528253000 is an equidigital number, since it uses as much as digits as its factorization.

2528253000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 2528253000 is about 50281.7362468720. The cubic root of 2528253000 is about 1362.3023645104.

The spelling of 2528253000 in words is "two billion, five hundred twenty-eight million, two hundred fifty-three thousand".