1008025036020 has 216 divisors, whose sum is σ = 3105063476424. Its totient is φ = 264683446272.

The previous prime is 1008025036019. The next prime is 1008025036027. The reversal of 1008025036020 is 206305208001.

1008025036020 is a `hidden beast` number, since 1 + 0 + 0 + 8 + 0 + 2 + 50 + 3 + 602 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1004004 + 1008024032016 = 1002^2 + 1004004^2 .

It is a super-2 number, since 2×1008025036020² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1008025036027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 567261372 + ... + 567263148.

Almost surely, 2^{1008025036020} is an apocalyptic number.

1008025036020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 1004004×1004005.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1008025036020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1552531738212).

1008025036020 is an abundant number, since it is smaller than the sum of its proper divisors (2097038440404).

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

1008025036020 is a wasteful number, since it uses less digits than its factorization.

1008025036020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2239 (or 2067 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 1008025036020 in words is "one trillion, eight billion, twenty-five million, thirty-six thousand, twenty".