1530733123984 has 45 divisors (see below), whose sum is σ = 3030700577281. Its totient is φ = 748968342080.

The previous prime is 1530733123973. The next prime is 1530733123987. The reversal of 1530733123984 is 4893213370351.

The square root of 1530733123984 is 1237228.

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., 366233149584 + 1164499974400 = 605172^2 + 1079120^2 .

It is a super-3 number, since 3×1530733123984³ (a number of 38 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1530733123987) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 232595574 + ... + 232602154.

Almost surely, 2^{1530733123984} is an apocalyptic number.

1530733123984 is the 1237228-th square number.

It is an amenable number.

1530733123984 is a deficient number, since it is larger than the sum of its proper divisors (1499967453297).

1530733123984 is an frugal number, since it uses more digits than its factorization.

1530733123984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13264 (or 6630 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 49.

Multiplying 1530733123984 by its sum of digits (49), we get a square (75005923075216 = 8660596²).

The spelling of 1530733123984 in words is "one trillion, five hundred thirty billion, seven hundred thirty-three million, one hundred twenty-three thousand, nine hundred eighty-four".