1053480537664 has 63 divisors (see below), whose sum is σ = 2220998910673. Its totient is φ = 495689858048.

The previous prime is 1053480537661. The next prime is 1053480537667. The reversal of 1053480537664 is 4667350843501.

The square root of 1053480537664 is 1026392.

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

It is an interprime number because it is at equal distance from previous prime (1053480537661) and next prime (1053480537667).

It can be written as a sum of positive squares in only one way, i.e., 820183809600 + 233296728064 = 905640^2 + 483008^2 .

It is a super-2 number, since 2×1053480537664² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1053480537661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 139585539 + ... + 139593085.

Almost surely, 2^{1053480537664} is an apocalyptic number.

1053480537664 is the 1026392-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1053480537664

1053480537664 is an abundant number, since it is smaller than the sum of its proper divisors (1167518373009).

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

1053480537664 is an frugal number, since it uses more digits than its factorization.

1053480537664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15140 (or 7566 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 52.

The spelling of 1053480537664 in words is "one trillion, fifty-three billion, four hundred eighty million, five hundred thirty-seven thousand, six hundred sixty-four".