1071823313521 has 9 divisors (see below), whose sum is σ = 1074135947833. Its totient is φ = 1069515654340.

The previous prime is 1071823313471. The next prime is 1071823313527. The reversal of 1071823313521 is 1253133281701.

The square root of 1071823313521 is 1035289.

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

It is not a de Polignac number, because 1071823313521 - 2¹¹ = 1071823311473 is a prime.

It is a super-2 number, since 2×1071823313521² (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 (1071823313527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 682254666 + ... + 682256236.

Almost surely, 2^{1071823313521} is an apocalyptic number.

1071823313521 is the 1035289-th square number.

1071823313521 is the 517645-th centered octagonal number.

It is an amenable number.

1071823313521 is a deficient number, since it is larger than the sum of its proper divisors (2312634312).

1071823313521 is an frugal number, since it uses more digits than its factorization.

1071823313521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4460 (or 2230 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The spelling of 1071823313521 in words is "one trillion, seventy-one billion, eight hundred twenty-three million, three hundred thirteen thousand, five hundred twenty-one".