1005120213 has 16 divisors (see below), whose sum is σ = 1348345152. Its totient is φ = 666000000.

The previous prime is 1005120211. The next prime is 1005120269. The reversal of 1005120213 is 3120215001.

It is not a de Polignac number, because 1005120213 - 2¹ = 1005120211 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1005120192 and 1005120201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005120211) 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 15 ways as a sum of consecutive naturals, for example, 451443 + ... + 453663.

It is an arithmetic number, because the mean of its divisors is an integer number (84271572).

Almost surely, 2^1005120213 is an apocalyptic number.

It is an amenable number.

1005120213 is a deficient number, since it is larger than the sum of its proper divisors (343224939).

1005120213 is a wasteful number, since it uses less digits than its factorization.

1005120213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3076.

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 1005120213 is about 31703.6309119318. The cubic root of 1005120213 is about 1001.7038329711.

Adding to 1005120213 its reverse (3120215001), we get a palindrome (4125335214).

The spelling of 1005120213 in words is "one billion, five million, one hundred twenty thousand, two hundred thirteen".