12937409053321 has 9 divisors (see below), whose sum is σ = 12956532989781. Its totient is φ = 12918313318272.

The previous prime is 12937409053313. The next prime is 12937409053351. The reversal of 12937409053321 is 12335090473921.

The square root of 12937409053321 is 3596861.

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 6391486803321 + 6545922250000 = 2528139^2 + 2558500^2 .

It is not a de Polignac number, because 12937409053321 - 2³ = 12937409053313 is a prime.

It is a super-2 number, since 2×12937409053321² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12937409053351) 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, 2866695961 + ... + 2866700473.

Almost surely, 2^{12937409053321} is an apocalyptic number.

12937409053321 is the 3596861-st square number.

12937409053321 is the 1798431-st centered octagonal number.

It is an amenable number.

12937409053321 is a deficient number, since it is larger than the sum of its proper divisors (19123936460).

12937409053321 is an frugal number, since it uses more digits than its factorization.

12937409053321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10620 (or 5310 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 49.

Multiplying 12937409053321 by its sum of digits (49), we get a square (633933043612729 = 25178027²).

The spelling of 12937409053321 in words is "twelve trillion, nine hundred thirty-seven billion, four hundred nine million, fifty-three thousand, three hundred twenty-one".