10251560 has 64 divisors (see below), whose sum is σ = 26282880. Its totient is φ = 3562240.

The previous prime is 10251557. The next prime is 10251569. The reversal of 10251560 is 6515201.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (10251569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9614 + ... + 10626.

It is an arithmetic number, because the mean of its divisors is an integer number (410670).

Almost surely, 2^10251560 is an apocalyptic number.

10251560 is a gapful number since it is divisible by the number (10) 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 10251560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13141440).

10251560 is an abundant number, since it is smaller than the sum of its proper divisors (16031320).

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

10251560 is a wasteful number, since it uses less digits than its factorization.

10251560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1058 (or 1054 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

The square root of 10251560 is about 3201.8057405158. The cubic root of 10251560 is about 217.2350938776.

10251560 divided by its sum of digits (20) gives a triangular number (512578 = T₁₀₁₂).

Adding to 10251560 its reverse (6515201), we get a palindrome (16766761).

The spelling of 10251560 in words is "ten million, two hundred fifty-one thousand, five hundred sixty".