1005546001000 has 64 divisors (see below), whose sum is σ = 2376274689360. Its totient is φ = 398236000000.

The previous prime is 1005546000983. The next prime is 1005546001037. The reversal of 1005546001000 is 1006455001.

1005546001000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 91239035364 + 914306965636 = 302058^2 + 956194^2 .

It is a super-2 number, since 2×1005546001000² (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, 4876951 + ... + 5078950.

Almost surely, 2^{1005546001000} is an apocalyptic number.

1005546001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1005546001000 is an abundant number, since it is smaller than the sum of its proper divisors (1370728688360).

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

1005546001000 is a wasteful number, since it uses less digits than its factorization.

1005546001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9956023 (or 9956009 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

The spelling of 1005546001000 in words is "one trillion, five billion, five hundred forty-six million, one thousand".