1005263004 has 48 divisors (see below), whose sum is σ = 2389564800. Its totient is φ = 328829376.

The previous prime is 1005263003. The next prime is 1005263033. The reversal of 1005263004 is 4003625001.

It is a happy number.

It is a super-2 number, since 2×1005263004² = 2021107414422208032, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005263003) 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 15 ways as a sum of consecutive naturals, for example, 620107 + ... + 621725.

It is an arithmetic number, because the mean of its divisors is an integer number (49782600).

Almost surely, 2^1005263004 is an apocalyptic number.

It is an amenable number.

1005263004 is an abundant number, since it is smaller than the sum of its proper divisors (1384301796).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1005263004 is a wasteful number, since it uses less digits than its factorization.

1005263004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2562 (or 2560 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 1005263004 is about 31705.8827979919. The cubic root of 1005263004 is about 1001.7512659439.

Adding to 1005263004 its reverse (4003625001), we get a palindrome (5008888005).

The spelling of 1005263004 in words is "one billion, five million, two hundred sixty-three thousand, four".