2137305361 has 9 divisors (see below), whose sum is σ = 2167257211. Its totient is φ = 2107763752.

The previous prime is 2137305349. The next prime is 2137305397. The reversal of 2137305361 is 1635037312.

The square root of 2137305361 is 46231.

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., 187553025 + 1949752336 = 13695^2 + 44156^2 .

It is not a de Polignac number, because 2137305361 - 2⁵ = 2137305329 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2137305301) 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, 3836895 + ... + 3837451.

Almost surely, 2^2137305361 is an apocalyptic number.

2137305361 is the 46231-st square number.

2137305361 is the 23116-th centered octagonal number.

It is an amenable number.

2137305361 is a deficient number, since it is larger than the sum of its proper divisors (29951850).

2137305361 is an frugal number, since it uses more digits than its factorization.

2137305361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1280 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 31.

The cubic root of 2137305361 is about 1288.1176321666.

The spelling of 2137305361 in words is "two billion, one hundred thirty-seven million, three hundred five thousand, three hundred sixty-one".