8523766363401 has 27 divisors (see below), whose sum is σ = 12722488741287. Its totient is φ = 5499028932480.

The previous prime is 8523766363391. The next prime is 8523766363417. The reversal of 8523766363401 is 1043636673258.

The square root of 8523766363401 is 2919549.

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

8523766363401 is a `hidden beast` number, since 8 + 5 + 237 + 6 + 6 + 363 + 40 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8454399446025 + 69366917376 = 2907645^2 + 263376^2 .

It is not a de Polignac number, because 8523766363401 - 2¹⁷ = 8523766232329 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (8523766563401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 271502361 + ... + 271533753.

Almost surely, 2^{8523766363401} is an apocalyptic number.

8523766363401 is the 2919549-th square number.

8523766363401 is the 1459775-th centered octagonal number.

It is an amenable number.

8523766363401 is a deficient number, since it is larger than the sum of its proper divisors (4198722377886).

8523766363401 is an frugal number, since it uses more digits than its factorization.

8523766363401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62854 (or 31427 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 8523766363401 in words is "eight trillion, five hundred twenty-three billion, seven hundred sixty-six million, three hundred sixty-three thousand, four hundred one".