1004678253 has 12 divisors (see below), whose sum is σ = 1451652540. Its totient is φ = 669577536.

The previous prime is 1004678237. The next prime is 1004678261. The reversal of 1004678253 is 3528764001.

It can be written as a sum of positive squares in 2 ways, for example, as 442134729 + 562543524 = 21027^2 + 23718^2 .

It is not a de Polignac number, because 1004678253 - 2⁴ = 1004678237 is a prime.

It is a super-2 number, since 2×1004678253² = 2018756784102264018, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004678263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16803 + ... + 47871.

It is an arithmetic number, because the mean of its divisors is an integer number (120971045).

Almost surely, 2^1004678253 is an apocalyptic number.

It is an amenable number.

1004678253 is a deficient number, since it is larger than the sum of its proper divisors (446974287).

1004678253 is a wasteful number, since it uses less digits than its factorization.

1004678253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34668 (or 34665 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 1004678253 is about 31696.6599659964. The cubic root of 1004678253 is about 1001.5569921838.

The spelling of 1004678253 in words is "one billion, four million, six hundred seventy-eight thousand, two hundred fifty-three".