1005051013 has 4 divisors (see below), whose sum is σ = 1005155980. Its totient is φ = 1004946048.

The previous prime is 1005051007. The next prime is 1005051023. The reversal of 1005051013 is 3101505001.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 3101505001 = 7 ⋅443072143.

It can be written as a sum of positive squares in 2 ways, for example, as 455523649 + 549527364 = 21343^2 + 23442^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1005051013 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005051023) 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 3 ways as a sum of consecutive naturals, for example, 36498 + ... + 57811.

It is an arithmetic number, because the mean of its divisors is an integer number (251288995).

Almost surely, 2^1005051013 is an apocalyptic number.

It is an amenable number.

1005051013 is a deficient number, since it is larger than the sum of its proper divisors (104967).

1005051013 is an equidigital number, since it uses as much as digits as its factorization.

1005051013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104966.

The product of its (nonzero) digits is 75, while the sum is 16.

The square root of 1005051013 is about 31702.5395355009. The cubic root of 1005051013 is about 1001.6808441799.

Adding to 1005051013 its reverse (3101505001), we get a palindrome (4106556014).

The spelling of 1005051013 in words is "one billion, five million, fifty-one thousand, thirteen".