2107255786321 has 9 divisors (see below), whose sum is σ = 2451309367899. Its totient is φ = 1806210535584.

The previous prime is 2107255786309. The next prime is 2107255786397. The reversal of 2107255786321 is 1236875527012.

The square root of 2107255786321 is 1451639.

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., 1879024100625 + 228231685696 = 1370775^2 + 477736^2 .

It is a de Polignac number, because none of the positive numbers 2^k-2107255786321 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (2107255786021) 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, 10057785 + ... + 10265161.

Almost surely, 2^{2107255786321} is an apocalyptic number.

2107255786321 is the 1451639-th square number.

2107255786321 is the 725820-th centered octagonal number.

It is an amenable number.

2107255786321 is a deficient number, since it is larger than the sum of its proper divisors (344053581578).

2107255786321 is an frugal number, since it uses more digits than its factorization.

2107255786321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414768 (or 207384 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 49.

Multiplying 2107255786321 by its sum of digits (49), we get a square (103255533529729 = 10161473²).

2107255786321 divided by its sum of digits (49) gives a square (43005220129 = 207377²).

The spelling of 2107255786321 in words is "two trillion, one hundred seven billion, two hundred fifty-five million, seven hundred eighty-six thousand, three hundred twenty-one".