2205316315521 has 96 divisors (see below), whose sum is σ = 3551892664320. Its totient is φ = 1307349388800.

The previous prime is 2205316315519. The next prime is 2205316315561. The reversal of 2205316315521 is 1255136135022.

2205316315521 is a `hidden beast` number, since 2 + 2 + 0 + 5 + 316 + 315 + 5 + 21 = 666.

It is not a de Polignac number, because 2205316315521 - 2¹ = 2205316315519 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2205316315511) 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 95 ways as a sum of consecutive naturals, for example, 761239945 + ... + 761242841.

It is an arithmetic number, because the mean of its divisors is an integer number (36998881920).

Almost surely, 2^{2205316315521} is an apocalyptic number.

It is an amenable number.

2205316315521 is a deficient number, since it is larger than the sum of its proper divisors (1346576348799).

2205316315521 is a wasteful number, since it uses less digits than its factorization.

2205316315521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3867 (or 3864 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 2205316315521 in words is "two trillion, two hundred five billion, three hundred sixteen million, three hundred fifteen thousand, five hundred twenty-one".