1001014004 has 36 divisors (see below), whose sum is σ = 1850508324. Its totient is φ = 473713152.

The previous prime is 1001013991. The next prime is 1001014051. The reversal of 1001014004 is 4004101001.

It can be written as a sum of positive squares in 2 ways, for example, as 360924004 + 640090000 = 18998^2 + 25300^2 .

It is a super-2 number, since 2×1001014004² = 2004058072408224032, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 202814 + ... + 207690.

It is an arithmetic number, because the mean of its divisors is an integer number (51403009).

Almost surely, 2^1001014004 is an apocalyptic number.

It is an amenable number.

1001014004 is a deficient number, since it is larger than the sum of its proper divisors (849494320).

1001014004 is a wasteful number, since it uses less digits than its factorization.

1001014004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5024 (or 4999 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 1001014004 is about 31638.8053503921. The cubic root of 1001014004 is about 1000.3378871527.

Adding to 1001014004 its reverse (4004101001), we get a palindrome (5005115005).

The spelling of 1001014004 in words is "one billion, one million, fourteen thousand, four".