1250 has 10 divisors (see below), whose sum is σ = 2343. Its totient is φ = 500.

The previous prime is 1249. The next prime is 1259. The reversal of 1250 is 521.

1250 divided by its product of nonzero digits (10) gives a cube (125 = 5^{3}).

Adding to 1250 its reverse (521), we get a palindrome (1771).

Subtracting from 1250 its reverse (521), we obtain a 6-th power (729 = 3^{6}).

1250 is nontrivially palindromic in base 15.

1250 is an esthetic number in base 7 and base 14, because in such bases its adjacent digits differ by 1.

It can be written as a sum of positive squares in 3 ways, for example, as 289 + 961 = 17^2 + 31^2 .

It is a tau number, because it is divible by the number of its divisors (10).

It is an ABA number since it can be written as A⋅B^{A}, here for A=2, B=25.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

1250 is an undulating number in base 7 and base 15.

It is a nialpdrome in base 5, base 6, base 12, base 13 and base 14.

It is not an unprimeable number, because it can be changed into a prime (1259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 4 ways as a sum of consecutive naturals, for example, 248 + ... + 252.

1250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1250 is a deficient number, since it is larger than the sum of its proper divisors (1093).

1250 is an frugal number, since it uses more digits than its factorization.

1250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22 (or 7 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 8.

The square root of 1250 is about 35.3553390593. The cubic root of 1250 is about 10.7721734502.

The spelling of 1250 in words is "one thousand, two hundred fifty".

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