10251562500 has 243 divisors, whose sum is σ = 33636213247. Its totient is φ = 2733750000.

The previous prime is 10251562487. The next prime is 10251562511. The reversal of 10251562500 is 526515201.

The square root of 10251562500 is 101250.

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

10251562500 is a `hidden beast` number, since 1 + 0 + 2 + 5 + 156 + 2 + 500 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7288719876 + 2962842624 = 85374^2 + 54432^2 .

It is a tau number, because it is divible by the number of its divisors (243).

It is an ABA number since it can be written as A⋅B^A, here for A=4, B=225.

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

It is a Duffinian number.

It is a nialpdrome in base 15.

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 80 ways as a sum of consecutive naturals, for example, 2050312498 + ... + 2050312502.

Almost surely, 2^10251562500 is an apocalyptic number.

10251562500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10251562500 is the 101250-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10251562500

10251562500 is an abundant number, since it is smaller than the sum of its proper divisors (23384650747).

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

10251562500 is an frugal number, since it uses more digits than its factorization.

10251562500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The spelling of 10251562500 in words is "ten billion, two hundred fifty-one million, five hundred sixty-two thousand, five hundred".