1005253 has 8 divisors (see below), whose sum is σ = 1046520. Its totient is φ = 964800.

The previous prime is 1005241. The next prime is 1005269. The reversal of 1005253 is 3525001.

It can be written as a sum of positive squares in 4 ways, for example, as 368449 + 636804 = 607^2 + 798^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1005253 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005203) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3603 + ... + 3871.

It is an arithmetic number, because the mean of its divisors is an integer number (130815).

2^1005253 is an apocalyptic number.

It is an amenable number.

1005253 is a deficient number, since it is larger than the sum of its proper divisors (41267).

1005253 is a wasteful number, since it uses less digits than its factorization.

1005253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407.

The product of its (nonzero) digits is 150, while the sum is 16.

The square root of 1005253 is about 1002.6230597787. The cubic root of 1005253 is about 100.1747942915.

The spelling of 1005253 in words is "one million, five thousand, two hundred fifty-three".