2511152542221 has 16 divisors (see below), whose sum is σ = 3430342560960. Its totient is φ = 1633043434880.

The previous prime is 2511152542117. The next prime is 2511152542229. The reversal of 2511152542221 is 1222452511152.

It is not a de Polignac number, because 2511152542221 - 2¹⁰ = 2511152541197 is a prime.

It is a super-2 number, since 2×2511152542221² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2511152542229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 522915 + ... + 2301248.

It is an arithmetic number, because the mean of its divisors is an integer number (214396410060).

Almost surely, 2^{2511152542221} is an apocalyptic number.

It is an amenable number.

2511152542221 is a deficient number, since it is larger than the sum of its proper divisors (919190018739).

2511152542221 is a wasteful number, since it uses less digits than its factorization.

2511152542221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2831436.

The product of its digits is 16000, while the sum is 33.

The spelling of 2511152542221 in words is "two trillion, five hundred eleven billion, one hundred fifty-two million, five hundred forty-two thousand, two hundred twenty-one".