1052 has 6 divisors (see below), whose sum is σ = 1848. Its totient is φ = 524.

The previous prime is 1051. The next prime is 1061. The reversal of 1052 is 2501.

It is a super-2 number, since 2×1052^{2} = 2213408, which contains 22 as substring.

It is an Ulam number.

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

It is a plaindrome in base 9.

It is a nialpdrome in base 11 and base 14.

It is a congruent number.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 1052.

It is not an unprimeable number, because it can be changed into a prime (1051) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128 + ... + 135.

It is an arithmetic number, because the mean of its divisors is an integer number (308).

It is an amenable number.

1052 is a deficient number, since it is larger than the sum of its proper divisors (796).

1052 is a wasteful number, since it uses less digits than its factorization.

1052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 265 counting only the distinct ones).

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

The square root of 1052 is about 32.4345494805. The cubic root of 1052 is about 10.1704127853.

Adding to 1052 its reverse (2501), we get a palindrome (3553).

It can be divided in two parts, 105 and 2, that multiplied together give a triangular number (210 = T_{20}).

The spelling of 1052 in words is "one thousand, fifty-two".

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