1005623253 has 48 divisors (see below), whose sum is σ = 1570907520. Its totient is φ = 617628672.

The previous prime is 1005623251. The next prime is 1005623263. The reversal of 1005623253 is 3523265001.

1005623253 is a `hidden beast` number, since 10 + 0 + 5 + 623 + 25 + 3 = 666.

It is not a de Polignac number, because 1005623253 - 2¹ = 1005623251 is a prime.

It is a super-2 number, since 2×1005623253² = 2022556253948604018, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005623251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1999000 + ... + 1999502.

It is an arithmetic number, because the mean of its divisors is an integer number (32727240).

Almost surely, 2^1005623253 is an apocalyptic number.

It is an amenable number.

1005623253 is a deficient number, since it is larger than the sum of its proper divisors (565284267).

1005623253 is a wasteful number, since it uses less digits than its factorization.

1005623253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 1005623253 is about 31711.5633957079. The cubic root of 1005623253 is about 1001.8709151602.

Adding to 1005623253 its reverse (3523265001), we get a palindrome (4528888254).

The spelling of 1005623253 in words is "one billion, five million, six hundred twenty-three thousand, two hundred fifty-three".