1937973036321 has 135 divisors (see below), whose sum is σ = 3557281366881. Its totient is φ = 1048226172336.

The previous prime is 1937973036301. The next prime is 1937973036401. The reversal of 1937973036321 is 1236303797391.

It is a happy number.

The square root of 1937973036321 is 1392111.

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

1937973036321 is a `hidden beast` number, since 1 + 9 + 3 + 7 + 9 + 7 + 303 + 6 + 321 = 666.

It is not a de Polignac number, because 1937973036321 - 2¹¹ = 1937973034273 is a prime.

It is a super-3 number, since 3×1937973036321³ (a number of 38 digits) contains 333 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1937973036301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1666356286 + ... + 1666357448.

Almost surely, 2^{1937973036321} is an apocalyptic number.

1937973036321 is the 1392111-st square number.

1937973036321 is the 696056-th centered octagonal number.

It is an amenable number.

1937973036321 is a deficient number, since it is larger than the sum of its proper divisors (1619308330560).

1937973036321 is an frugal number, since it uses more digits than its factorization.

1937973036321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2390 (or 1192 counting only the distinct ones).

The product of its (nonzero) digits is 3857868, while the sum is 54.

The spelling of 1937973036321 in words is "one trillion, nine hundred thirty-seven billion, nine hundred seventy-three million, thirty-six thousand, three hundred twenty-one".