1297530584464 has 135 divisors (see below), whose sum is σ = 2636015051073. Its totient is φ = 618718323456.

The previous prime is 1297530584461. The next prime is 1297530584477. The reversal of 1297530584464 is 4644850357921.

The square root of 1297530584464 is 1139092.

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., 736541568400 + 560989016064 = 858220^2 + 748992^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1297530584399 and 1297530584408.

It is not an unprimeable number, because it can be changed into a prime (1297530584461) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 15632898567 + ... + 15632898649.

It is a 1-persistent number, because it is pandigital, but 2⋅1297530584464 = 2595061168928 is not.

Almost surely, 2^{1297530584464} is an apocalyptic number.

1297530584464 is the 1139092-nd square number.

It is an amenable number.

1297530584464 is an abundant number, since it is smaller than the sum of its proper divisors (1338484466609).

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

1297530584464 is an frugal number, since it uses more digits than its factorization.

1297530584464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 58.

The spelling of 1297530584464 in words is "one trillion, two hundred ninety-seven billion, five hundred thirty million, five hundred eighty-four thousand, four hundred sixty-four".