873609878241 has 9 divisors (see below), whose sum is σ = 1261884985491. Its totient is φ = 582404716152.

The previous prime is 873609878201. The next prime is 873609878243. The reversal of 873609878241 is 142878906378.

The square root of 873609878241 is 934671.

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

873609878241 is a `hidden beast` number, since 87 + 360 + 9 + 87 + 82 + 41 = 666.

It can be written as a sum of positive squares in only one way, i.e., 38206566225 + 835403312016 = 195465^2 + 914004^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 873609878241 - 2¹¹ = 873609876193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (873609878243) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2648235 + ... + 2959791.

Almost surely, 2^873609878241 is an apocalyptic number.

873609878241 is the 934671-st square number.

873609878241 is the 467336-th centered octagonal number.

It is an amenable number.

873609878241 is a deficient number, since it is larger than the sum of its proper divisors (388275107250).

873609878241 is an frugal number, since it uses more digits than its factorization.

873609878241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623120 (or 311560 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 63.

The spelling of 873609878241 in words is "eight hundred seventy-three billion, six hundred nine million, eight hundred seventy-eight thousand, two hundred forty-one".