1013444000 has 48 divisors (see below), whose sum is σ = 2490041736. Its totient is φ = 405376000.

The previous prime is 1013443993. The next prime is 1013444039. The reversal of 1013444000 is 4443101.

It can be written as a sum of positive squares in 4 ways, for example, as 170354704 + 843089296 = 13052^2 + 29036^2 .

It is a super-2 number, since 2×1013444000² = 2054137482272000000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1013444000.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 122681 + ... + 130680.

Almost surely, 2^1013444000 is an apocalyptic number.

1013444000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1013444000 is an abundant number, since it is smaller than the sum of its proper divisors (1476597736).

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

1013444000 is an equidigital number, since it uses as much as digits as its factorization.

1013444000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253386 (or 253368 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 1013444000 is about 31834.6352264322. The cubic root of 1013444000 is about 1004.4613996465.

Adding to 1013444000 its reverse (4443101), we get a palindrome (1017887101).

The spelling of 1013444000 in words is "one billion, thirteen million, four hundred forty-four thousand".