1005213210 has 16 divisors (see below), whose sum is σ = 2412511776. Its totient is φ = 268056848.

The previous prime is 1005213197. The next prime is 1005213217. The reversal of 1005213210 is 123125001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1005213210.

It is not an unprimeable number, because it can be changed into a prime (1005213217) by changing a digit.

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, 16753524 + ... + 16753583.

It is an arithmetic number, because the mean of its divisors is an integer number (150781986).

Almost surely, 2^1005213210 is an apocalyptic number.

1005213210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1005213210 is an abundant number, since it is smaller than the sum of its proper divisors (1407298566).

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

1005213210 is a wasteful number, since it uses less digits than its factorization.

1005213210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33507117.

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

The square root of 1005213210 is about 31705.0975396702. The cubic root of 1005213210 is about 1001.7347256535.

Adding to 1005213210 its reverse (123125001), we get a palindrome (1128338211).

The spelling of 1005213210 in words is "one billion, five million, two hundred thirteen thousand, two hundred ten".