1003061738721 has 80 divisors (see below), whose sum is σ = 1612722582720. Its totient is φ = 554211826560.

The previous prime is 1003061738719. The next prime is 1003061738753. The reversal of 1003061738721 is 1278371603001.

It is not a de Polignac number, because 1003061738721 - 2¹ = 1003061738719 is a prime.

It is a super-3 number, since 3×1003061738721³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 1003061738721.

It is not an unprimeable number, because it can be changed into a prime (1003061738761) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 25904251 + ... + 25942943.

It is an arithmetic number, because the mean of its divisors is an integer number (20159032284).

Almost surely, 2^{1003061738721} is an apocalyptic number.

It is an amenable number.

1003061738721 is a deficient number, since it is larger than the sum of its proper divisors (609660843999).

1003061738721 is an frugal number, since it uses more digits than its factorization.

1003061738721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38844 (or 38823 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The spelling of 1003061738721 in words is "one trillion, three billion, sixty-one million, seven hundred thirty-eight thousand, seven hundred twenty-one".