1371589980201 has 135 divisors (see below), whose sum is σ = 2397535733463. Its totient is φ = 755531642880.

The previous prime is 1371589980199. The next prime is 1371589980227. The reversal of 1371589980201 is 1020899851731.

The square root of 1371589980201 is 1171149.

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

1371589980201 is a `hidden beast` number, since 1 + 37 + 1 + 589 + 9 + 8 + 0 + 20 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1350325341225 + 21264638976 = 1162035^2 + 145824^2 .

It is not a de Polignac number, because 1371589980201 - 2¹ = 1371589980199 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1371589988201) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 5336925865 + ... + 5336926121.

Almost surely, 2^{1371589980201} is an apocalyptic number.

1371589980201 is the 1171149-th square number.

1371589980201 is the 585575-th centered octagonal number.

It is an amenable number.

1371589980201 is a deficient number, since it is larger than the sum of its proper divisors (1025945753262).

1371589980201 is an frugal number, since it uses more digits than its factorization.

1371589980201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 54.

The spelling of 1371589980201 in words is "one trillion, three hundred seventy-one billion, five hundred eighty-nine million, nine hundred eighty thousand, two hundred one".