1000521013 has 8 divisors (see below), whose sum is σ = 1005146136. Its totient is φ = 995904000.

The previous prime is 1000520993. The next prime is 1000521023. The reversal of 1000521013 is 3101250001.

It can be written as a sum of positive squares in 4 ways, for example, as 5560164 + 994960849 = 2358^2 + 31543^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1000521013 - 2¹⁷ = 1000389941 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1000520984 and 1000521002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000521023) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 525363 + ... + 527263.

It is an arithmetic number, because the mean of its divisors is an integer number (125643267).

Almost surely, 2^1000521013 is an apocalyptic number.

It is an amenable number.

1000521013 is a deficient number, since it is larger than the sum of its proper divisors (4625123).

1000521013 is a wasteful number, since it uses less digits than its factorization.

1000521013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4055.

The product of its (nonzero) digits is 30, while the sum is 13.

The square root of 1000521013 is about 31631.0134677977. The cubic root of 1000521013 is about 1000.1736408471.

Adding to 1000521013 its reverse (3101250001), we get a palindrome (4101771014).

The spelling of 1000521013 in words is "one billion, five hundred twenty-one thousand, thirteen".