65880002241 has 75 divisors (see below), whose sum is σ = 105212292801. Its totient is φ = 41081733576.

The previous prime is 65880002239. The next prime is 65880002269. The reversal of 65880002241 is 14220008856.

The square root of 65880002241 is 256671.

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

It is not a de Polignac number, because 65880002241 - 2¹ = 65880002239 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 65880002196 and 65880002205.

It is not an unprimeable number, because it can be changed into a prime (65880002231) 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 74 ways as a sum of consecutive naturals, for example, 833924040 + ... + 833924118.

Almost surely, 2^65880002241 is an apocalyptic number.

65880002241 is the 256671-st square number.

65880002241 is the 128336-th centered octagonal number.

It is an amenable number.

65880002241 is a deficient number, since it is larger than the sum of its proper divisors (39332290560).

65880002241 is an frugal number, since it uses more digits than its factorization.

65880002241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

Multiplying 65880002241 by its sum of digits (36), we get a square (2371680080676 = 1540026²).

The spelling of 65880002241 in words is "sixty-five billion, eight hundred eighty million, two thousand, two hundred forty-one".