7916001704521 has 27 divisors (see below), whose sum is σ = 8398173648501. Its totient is φ = 7460425029024.

The previous prime is 7916001704509. The next prime is 7916001704537. The reversal of 7916001704521 is 1254071006197.

It is a happy number.

The square root of 7916001704521 is 2813539.

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

It can be written as a sum of positive squares in 4 ways, for example, as 367794944521 + 7548206760000 = 606461^2 + 2747400^2 .

It is not a de Polignac number, because 7916001704521 - 2²⁵ = 7915968150089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7916001704021) 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, 19939550695 + ... + 19939551091.

It is an arithmetic number, because the mean of its divisors is an integer number (311043468463).

Almost surely, 2^{7916001704521} is an apocalyptic number.

7916001704521 is the 2813539-th square number.

7916001704521 is the 1406770-th centered octagonal number.

It is an amenable number.

7916001704521 is a deficient number, since it is larger than the sum of its proper divisors (482171943980).

7916001704521 is an frugal number, since it uses more digits than its factorization.

7916001704521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1578 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 43.

The spelling of 7916001704521 in words is "seven trillion, nine hundred sixteen billion, one million, seven hundred four thousand, five hundred twenty-one".