10253587600 has 135 divisors (see below), whose sum is σ = 25350083499. Its totient is φ = 3985593600.

The previous prime is 10253587583. The next prime is 10253587613. The reversal of 10253587600 is 678535201.

The square root of 10253587600 is 101260.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 4722988176 + 5530599424 = 68724^2 + 74368^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10253587600.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 123537159 + ... + 123537241.

Almost surely, 2^10253587600 is an apocalyptic number.

10253587600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10253587600 is the 101260-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10253587600

10253587600 is an abundant number, since it is smaller than the sum of its proper divisors (15096495899).

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

10253587600 is an frugal number, since it uses more digits than its factorization.

10253587600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 37.

The spelling of 10253587600 in words is "ten billion, two hundred fifty-three million, five hundred eighty-seven thousand, six hundred".