10251540 has 108 divisors (see below), whose sum is σ = 33772284. Its totient is φ = 2515968.

The previous prime is 10251523. The next prime is 10251551. The reversal of 10251540 is 4515201.

It can be written as a sum of positive squares in 6 ways, for example, as 3090564 + 7160976 = 1758^2 + 2676^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 15.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 30252 + ... + 30588.

Almost surely, 2^10251540 is an apocalyptic number.

10251540 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 10251540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16886142).

10251540 is an abundant number, since it is smaller than the sum of its proper divisors (23520744).

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

10251540 is a wasteful number, since it uses less digits than its factorization.

10251540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 10251540 is about 3201.8026172767. The cubic root of 10251540 is about 217.2349526079.

Adding to 10251540 its reverse (4515201), we get a palindrome (14766741).

The spelling of 10251540 in words is "ten million, two hundred fifty-one thousand, five hundred forty".