2505218461221 has 32 divisors (see below), whose sum is σ = 3908145162240. Its totient is φ = 1397584609344.

The previous prime is 2505218461211. The next prime is 2505218461241. The reversal of 2505218461221 is 1221648125052.

It is not a de Polignac number, because 2505218461221 - 2¹⁴ = 2505218444837 is a prime.

It is a super-2 number, since 2×2505218461221² (a number of 26 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2505218461221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2505218461211) 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 31 ways as a sum of consecutive naturals, for example, 1197856 + ... + 2538758.

It is an arithmetic number, because the mean of its divisors is an integer number (122129536320).

Almost surely, 2^{2505218461221} is an apocalyptic number.

2505218461221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2505218461221 is a deficient number, since it is larger than the sum of its proper divisors (1402926701019).

2505218461221 is a wasteful number, since it uses less digits than its factorization.

2505218461221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1343025.

The product of its (nonzero) digits is 76800, while the sum is 39.

The spelling of 2505218461221 in words is "two trillion, five hundred five billion, two hundred eighteen million, four hundred sixty-one thousand, two hundred twenty-one".