8245517993001 has 27 divisors (see below), whose sum is σ = 11945223177303. Its totient is φ = 5480891388720.

The previous prime is 8245517992993. The next prime is 8245517993029. The reversal of 8245517993001 is 1003997155428.

It is a happy number.

The square root of 8245517993001 is 2871501.

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

8245517993001 is a `hidden beast` number, since 8 + 2 + 4 + 5 + 517 + 99 + 30 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5525908025625 + 2719609967376 = 2350725^2 + 1649124^2 .

It is not a de Polignac number, because 8245517993001 - 2³ = 8245517992993 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (8245517993201) 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, 3419956486 + ... + 3419958896.

Almost surely, 2^{8245517993001} is an apocalyptic number.

8245517993001 is the 2871501-st square number.

8245517993001 is the 1435751-st centered octagonal number.

It is an amenable number.

8245517993001 is a deficient number, since it is larger than the sum of its proper divisors (3699705184302).

8245517993001 is an frugal number, since it uses more digits than its factorization.

8245517993001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5622 (or 2811 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 8245517993001 in words is "eight trillion, two hundred forty-five billion, five hundred seventeen million, nine hundred ninety-three thousand, one".