217248277801 has 15 divisors (see below), whose sum is σ = 223028046813. Its totient is φ = 211618267980.

The previous prime is 217248277793. The next prime is 217248277913. The reversal of 217248277801 is 108772842712.

The square root of 217248277801 is 466099.

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

It is not a de Polignac number, because 217248277801 - 2³ = 217248277793 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (217248274801) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1029612586 + ... + 1029612796.

Almost surely, 2^217248277801 is an apocalyptic number.

217248277801 is the 466099-th square number.

217248277801 is the 233050-th centered octagonal number.

It is an amenable number.

217248277801 is a deficient number, since it is larger than the sum of its proper divisors (5779769012).

217248277801 is an frugal number, since it uses more digits than its factorization.

217248277801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 702464, while the sum is 49.

Multiplying 217248277801 by its sum of digits (49), we get a square (10645165612249 = 3262693²).

The spelling of 217248277801 in words is "two hundred seventeen billion, two hundred forty-eight million, two hundred seventy-seven thousand, eight hundred one".