339002253121 has 9 divisors (see below), whose sum is σ = 394354300899. Its totient is φ = 290569866384.

The previous prime is 339002253103. The next prime is 339002253151. The reversal of 339002253121 is 121352200933.

The square root of 339002253121 is 582239.

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

It can be written as a sum of positive squares in only one way, i.e., 185601564225 + 153400688896 = 430815^2 + 391664^2 .

It is not a de Polignac number, because 339002253121 - 2¹³ = 339002244929 is a prime.

It is a super-2 number, since 2×339002253121² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (339002253101) 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, 4034085 + ... + 4117261.

Almost surely, 2^339002253121 is an apocalyptic number.

339002253121 is the 582239-th square number.

339002253121 is the 291120-th centered octagonal number.

It is an amenable number.

339002253121 is a deficient number, since it is larger than the sum of its proper divisors (55352047778).

339002253121 is an frugal number, since it uses more digits than its factorization.

339002253121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166368 (or 83184 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 31.

The spelling of 339002253121 in words is "three hundred thirty-nine billion, two million, two hundred fifty-three thousand, one hundred twenty-one".