17983578897025 has 135 divisors (see below), whose sum is σ = 27486124944963. Its totient is φ = 11669741647200.

The previous prime is 17983578896993. The next prime is 17983578897059. The reversal of 17983578897025 is 52079887538971.

It is a happy number.

The square root of 17983578897025 is 4240705.

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., 6474088402929 + 11509490494096 = 2544423^2 + 3392564^2 .

It is not a de Polignac number, because 17983578897025 - 2⁵ = 17983578896993 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 134 ways as a sum of consecutive naturals, for example, 19740481320 + ... + 19740482230.

Almost surely, 2^{17983578897025} is an apocalyptic number.

17983578897025 is the 4240705-th square number.

17983578897025 is the 2120353-rd centered octagonal number.

It is an amenable number.

17983578897025 is a deficient number, since it is larger than the sum of its proper divisors (9502546047938).

17983578897025 is an frugal number, since it uses more digits than its factorization.

17983578897025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1898 (or 942 counting only the distinct ones).

The product of its (nonzero) digits is 2133734400, while the sum is 79.

The spelling of 17983578897025 in words is "seventeen trillion, nine hundred eighty-three billion, five hundred seventy-eight million, eight hundred ninety-seven thousand, twenty-five".