1002005130 has 64 divisors (see below), whose sum is σ = 2768209920. Its totient is φ = 227375424.

The previous prime is 1002005117. The next prime is 1002005141. The reversal of 1002005130 is 315002001.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12027 + ... + 46353.

It is an arithmetic number, because the mean of its divisors is an integer number (43253280).

Almost surely, 2^1002005130 is an apocalyptic number.

1002005130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002005130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1384104960).

1002005130 is an abundant number, since it is smaller than the sum of its proper divisors (1766204790).

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

1002005130 is a wasteful number, since it uses less digits than its factorization.

1002005130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34483.

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 1002005130 is about 31654.4646140161. The cubic root of 1002005130 is about 1000.6679304363.

Adding to 1002005130 its reverse (315002001), we get a palindrome (1317007131).

The spelling of 1002005130 in words is "one billion, two million, five thousand, one hundred thirty".