1996504002529 has 9 divisors (see below), whose sum is σ = 2004130508121. Its totient is φ = 1988906425200.

The previous prime is 1996504002517. The next prime is 1996504002583. The reversal of 1996504002529 is 9252004056991.

The square root of 1996504002529 is 1412977.

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 1622018752225 + 374485250304 = 1273585^2 + 611952^2 .

It is not a de Polignac number, because 1996504002529 - 2²⁹ = 1995967131617 is a prime.

It is a super-2 number, since 2×1996504002529² (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 (1996504002029) 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, 391392079 + ... + 391397179.

It is an arithmetic number, because the mean of its divisors is an integer number (222681167569).

Almost surely, 2^{1996504002529} is an apocalyptic number.

1996504002529 is the 1412977-th square number.

1996504002529 is the 706489-th centered octagonal number.

It is an amenable number.

1996504002529 is a deficient number, since it is larger than the sum of its proper divisors (7626505592).

1996504002529 is an frugal number, since it uses more digits than its factorization.

1996504002529 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10756 (or 5378 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 52.

The spelling of 1996504002529 in words is "one trillion, nine hundred ninety-six billion, five hundred four million, two thousand, five hundred twenty-nine".