1005245541000 has 384 divisors, whose sum is σ = 3535573017600. Its totient is φ = 257405990400.

The previous prime is 1005245540963. The next prime is 1005245541011. The reversal of 1005245541000 is 1455425001.

1005245541000 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 2 + 4 + 554 + 100 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22396581 + ... + 22441419.

It is an arithmetic number, because the mean of its divisors is an integer number (9207221400).

Almost surely, 2^{1005245541000} is an apocalyptic number.

1005245541000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1005245541000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1767786508800).

1005245541000 is an abundant number, since it is smaller than the sum of its proper divisors (2530327476600).

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

1005245541000 is a wasteful number, since it uses less digits than its factorization.

1005245541000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44966 (or 44949 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The spelling of 1005245541000 in words is "one trillion, five billion, two hundred forty-five million, five hundred forty-one thousand".