1284824517001 has 3 divisors (see below), whose sum is σ = 1284825650503. Its totient is φ = 1284823383500.

The previous prime is 1284824516917. The next prime is 1284824517013. The reversal of 1284824517001 is 1007154284821.

The square root of 1284824517001 is 1133501.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 1157132641401 + 127691875600 = 1075701^2 + 357340^2 .

It is not a de Polignac number, because 1284824517001 - 2¹⁹ = 1284823992713 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1284824517401) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 566751 + ... + 1700251.

Almost surely, 2^{1284824517001} is an apocalyptic number.

1284824517001 is the 1133501-st square number.

1284824517001 is the 566751-st centered octagonal number.

It is an amenable number.

1284824517001 is a deficient number, since it is larger than the sum of its proper divisors (1133502).

1284824517001 is an frugal number, since it uses more digits than its factorization.

1284824517001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2267002 (or 1133501 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 43.

The spelling of 1284824517001 in words is "one trillion, two hundred eighty-four billion, eight hundred twenty-four million, five hundred seventeen thousand, one".