1005042541000 has 64 divisors (see below), whose sum is σ = 2361558616560. Its totient is φ = 400348800000.

The previous prime is 1005042540923. The next prime is 1005042541033. The reversal of 1005042541000 is 1452405001.

It can be written as a sum of positive squares in 8 ways, for example, as 13994416804 + 991048124196 = 118298^2 + 995514^2 .

It is a super-2 number, since 2×1005042541000² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1844151 + ... + 2326150.

Almost surely, 2^{1005042541000} is an apocalyptic number.

1005042541000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1005042541000 is an abundant number, since it is smaller than the sum of its proper divisors (1356516075560).

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

1005042541000 is a wasteful number, since it uses less digits than its factorization.

1005042541000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4170563 (or 4170549 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

Adding to 1005042541000 its reverse (1452405001), we get a palindrome (1006494946001).

The spelling of 1005042541000 in words is "one trillion, five billion, forty-two million, five hundred forty-one thousand".