6311455332121 has 9 divisors (see below), whose sum is σ = 6319598008861. Its totient is φ = 6303323143264.

The previous prime is 6311455332109. The next prime is 6311455332157. The reversal of 6311455332121 is 1212335541136.

The square root of 6311455332121 is 2512261.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2399366922121 + 3912088410000 = 1548989^2 + 1977900^2 .

It is not a de Polignac number, because 6311455332121 - 2²⁷ = 6311321114393 is a prime.

It is a super-3 number, since 3×6311455332121³ (a number of 39 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6311455332101) 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, 3238303455 + ... + 3238305403.

Almost surely, 2^{6311455332121} is an apocalyptic number.

6311455332121 is the 2512261-st square number.

6311455332121 is the 1256131-st centered octagonal number.

It is an amenable number.

6311455332121 is a deficient number, since it is larger than the sum of its proper divisors (8142676740).

6311455332121 is an frugal number, since it uses more digits than its factorization.

6311455332121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6476 (or 3238 counting only the distinct ones).

The product of its digits is 64800, while the sum is 37.

The spelling of 6311455332121 in words is "six trillion, three hundred eleven billion, four hundred fifty-five million, three hundred thirty-two thousand, one hundred twenty-one".