19497514528801 has 9 divisors (see below), whose sum is σ = 19528468313203. Its totient is φ = 19466609751400.

The previous prime is 19497514528741. The next prime is 19497514528861. The reversal of 19497514528801 is 10882541579491.

The square root of 19497514528801 is 4415599.

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 (19497514528741) and next prime (19497514528861).

It can be written as a sum of positive squares in only one way, i.e., 16815322221201 + 2682192307600 = 4100649^2 + 1637740^2 .

It is not a de Polignac number, because 19497514528801 - 2¹¹ = 19497514526753 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (19497514528861) 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, 3095331750 + ... + 3095338048.

Almost surely, 2^{19497514528801} is an apocalyptic number.

19497514528801 is the 4415599-th square number.

19497514528801 is the 2207800-th centered octagonal number.

It is an amenable number.

19497514528801 is a deficient number, since it is larger than the sum of its proper divisors (30953784402).

19497514528801 is an frugal number, since it uses more digits than its factorization.

19497514528801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14000 (or 7000 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 64.

The spelling of 19497514528801 in words is "nineteen trillion, four hundred ninety-seven billion, five hundred fourteen million, five hundred twenty-eight thousand, eight hundred one".