1053792583936 has 81 divisors (see below), whose sum is σ = 2131875044509. Its totient is φ = 519874731008.

The previous prime is 1053792583931. The next prime is 1053792583999. The reversal of 1053792583936 is 6393852973501.

The square root of 1053792583936 is 1026544.

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., 67060281600 + 986732302336 = 258960^2 + 993344^2 .

It is a super-2 number, since 2×1053792583936² (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 (1053792583931) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 1363250046 + ... + 1363250818.

Almost surely, 2^{1053792583936} is an apocalyptic number.

1053792583936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1053792583936 is the 1026544-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1053792583936

1053792583936 is an abundant number, since it is smaller than the sum of its proper divisors (1078082460573).

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

1053792583936 is an frugal number, since it uses more digits than its factorization.

1053792583936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1728 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 36741600, while the sum is 61.

The spelling of 1053792583936 in words is "one trillion, fifty-three billion, seven hundred ninety-two million, five hundred eighty-three thousand, nine hundred thirty-six".