1008116402500 has 135 divisors (see below), whose sum is σ = 2261853168267. Its totient is φ = 393025332000.

The previous prime is 1008116402497. The next prime is 1008116402521. The reversal of 1008116402500 is 52046118001.

The square root of 1008116402500 is 1004050.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 79036325956 + 929080076544 = 281134^2 + 963888^2 .

It is a Duffinian number.

It is an unprimeable number.

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 44 ways as a sum of consecutive naturals, for example, 2158707267 + ... + 2158707733.

Almost surely, 2^{1008116402500} is an apocalyptic number.

1008116402500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1008116402500 is the 1004050-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1008116402500

1008116402500 is an abundant number, since it is smaller than the sum of its proper divisors (1253736765767).

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

1008116402500 is an frugal number, since it uses more digits than its factorization.

1008116402500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1044 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 28.

The spelling of 1008116402500 in words is "one trillion, eight billion, one hundred sixteen million, four hundred two thousand, five hundred".