1252 has 6 divisors (see below), whose sum is σ = 2198. Its totient is φ = 624.

The previous prime is 1249. The next prime is 1259. The reversal of 1252 is 2521.

1252 = T₂₃ + T₂₄ + ... + T₂₆.

1252 is nontrivially palindromic in base 5, base 14 and base 16.

1252 is an esthetic number in base 14, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in only one way, i.e., 676 + 576 = 26^2 + 24^2 .

It is an Ulam number.

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

1252 is an undulating number in base 14 and base 16.

It is a plaindrome in base 8.

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

It is a congruent number.

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 as a sum of consecutive naturals, namely, 153 + ... + 160.

It is an amenable number.

1252 is a deficient number, since it is larger than the sum of its proper divisors (946).

1252 is a wasteful number, since it uses less digits than its factorization.

1252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 315 counting only the distinct ones).

The product of its digits is 20, while the sum is 10.

The square root of 1252 is about 35.3836120259. The cubic root of 1252 is about 10.7779155480. Note that the first 3 decimals are identical.

Adding to 1252 its reverse (2521), we get a palindrome (3773).

It can be divided in two parts, 12 and 52, that added together give a 6-th power (64 = 2⁶).

The spelling of 1252 in words is "one thousand, two hundred fifty-two".