1303506290944 has 243 divisors, whose sum is σ = 3103101072729. Its totient is φ = 545829672960.

The previous prime is 1303506290887. The next prime is 1303506290969. The reversal of 1303506290944 is 4490926053031.

The square root of 1303506290944 is 1141712.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 192826374400 + 1110679916544 = 439120^2 + 1053888^2 .

It is a super-2 number, since 2×1303506290944² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1303506290894 and 1303506290903.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2612236807 + ... + 2612237305.

Almost surely, 2^{1303506290944} is an apocalyptic number.

1303506290944 is the 1141712-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1303506290944

1303506290944 is an abundant number, since it is smaller than the sum of its proper divisors (1799594781785).

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

1303506290944 is an frugal number, since it uses more digits than its factorization.

1303506290944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1062 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 46.

The spelling of 1303506290944 in words is "one trillion, three hundred three billion, five hundred six million, two hundred ninety thousand, nine hundred forty-four".