253062500 has 42 divisors (see below), whose sum is σ = 553703850. Its totient is φ = 101200000.

The previous prime is 253062487. The next prime is 253062533. The reversal of 253062500 is 5260352.

It is a happy number.

It can be written as a sum of positive squares in 7 ways, for example, as 246050596 + 7011904 = 15686^2 + 2648^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 60476 + ... + 64524.

It is an arithmetic number, because the mean of its divisors is an integer number (13183425).

Almost surely, 2^253062500 is an apocalyptic number.

253062500 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 253062500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276851925).

253062500 is an abundant number, since it is smaller than the sum of its proper divisors (300641350).

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

253062500 is an frugal number, since it uses more digits than its factorization.

253062500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4083 (or 4056 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 23.

The square root of 253062500 is about 15907.9382699330. The cubic root of 253062500 is about 632.5224309459.

It can be divided in two parts, 25 and 3062500, that multiplied together give a square (76562500 = 8750²).

The spelling of 253062500 in words is "two hundred fifty-three million, sixty-two thousand, five hundred".