6613954641121 has 9 divisors (see below), whose sum is σ = 6683094748281. Its totient is φ = 6545522652672.

The previous prime is 6613954641101. The next prime is 6613954641143. The reversal of 6613954641121 is 1211464593166.

It is a happy number.

The square root of 6613954641121 is 2571761.

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 1039255874721 + 5574698766400 = 1019439^2 + 2361080^2 .

It is not a de Polignac number, because 6613954641121 - 2²³ = 6613946252513 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6613954641101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 249447561 + ... + 249474073.

Almost surely, 2^{6613954641121} is an apocalyptic number.

6613954641121 is the 2571761-st square number.

6613954641121 is the 1285881-st centered octagonal number.

It is an amenable number.

6613954641121 is a deficient number, since it is larger than the sum of its proper divisors (69140107160).

6613954641121 is an frugal number, since it uses more digits than its factorization.

6613954641121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53220 (or 26610 counting only the distinct ones).

The product of its digits is 933120, while the sum is 49.

Multiplying 6613954641121 by its sum of digits (49), we get a square (324083777414929 = 18002327²).

The spelling of 6613954641121 in words is "six trillion, six hundred thirteen billion, nine hundred fifty-four million, six hundred forty-one thousand, one hundred twenty-one".