1001007005738 has 32 divisors (see below), whose sum is σ = 1540350000000. Its totient is φ = 487592801280.

The previous prime is 1001007005723. The next prime is 1001007005857. The reversal of 1001007005738 is 8375007001001.

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, 307149953 + ... + 307153211.

It is an arithmetic number, because the mean of its divisors is an integer number (48135937500).

Almost surely, 2^{1001007005738} is an apocalyptic number.

1001007005738 is a deficient number, since it is larger than the sum of its proper divisors (539342994262).

1001007005738 is a wasteful number, since it uses less digits than its factorization.

1001007005738 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7550.

The product of its (nonzero) digits is 5880, while the sum is 32.

The spelling of 1001007005738 in words is "one trillion, one billion, seven million, five thousand, seven hundred thirty-eight".