8265331752601 has 27 divisors (see below), whose sum is σ = 10568588003967. Its totient is φ = 6440345751840.

The previous prime is 8265331752589. The next prime is 8265331752619. The reversal of 8265331752601 is 1062571335628.

It is a happy number.

The square root of 8265331752601 is 2874949.

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., 5470336265625 + 2794995486976 = 2338875^2 + 1671824^2 .

It is not a de Polignac number, because 8265331752601 - 2¹³ = 8265331744409 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (8265331752101) 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, 221352405 + ... + 221389741.

Almost surely, 2^{8265331752601} is an apocalyptic number.

8265331752601 is the 2874949-th square number.

8265331752601 is the 1437475-th centered octagonal number.

It is an amenable number.

8265331752601 is a deficient number, since it is larger than the sum of its proper divisors (2303256251366).

8265331752601 is an frugal number, since it uses more digits than its factorization.

8265331752601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74710 (or 37355 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 49.

Multiplying 8265331752601 by its sum of digits (49), we get a square (405001255877449 = 20124643²).

8265331752601 divided by its sum of digits (49) gives a square (168680239849 = 410707²).

The spelling of 8265331752601 in words is "eight trillion, two hundred sixty-five billion, three hundred thirty-one million, seven hundred fifty-two thousand, six hundred one".