2137528796841 has 27 divisors (see below), whose sum is σ = 3154935946071. Its totient is φ = 1394565133824.

The previous prime is 2137528796839. The next prime is 2137528796861. The reversal of 2137528796841 is 1486978257312.

The square root of 2137528796841 is 1462029.

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

2137528796841 is a `hidden beast` number, since 2 + 1 + 3 + 7 + 528 + 7 + 9 + 68 + 41 = 666.

It can be written as a sum of positive squares in only one way, i.e., 117491958441 + 2020036838400 = 342771^2 + 1421280^2 .

It is not a de Polignac number, because 2137528796841 - 2¹ = 2137528796839 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2137528796861) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 206140905 + ... + 206151273.

Almost surely, 2^{2137528796841} is an apocalyptic number.

2137528796841 is the 1462029-th square number.

2137528796841 is the 731015-th centered octagonal number.

It is an amenable number.

2137528796841 is a deficient number, since it is larger than the sum of its proper divisors (1017407149230).

2137528796841 is an frugal number, since it uses more digits than its factorization.

2137528796841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20838 (or 10419 counting only the distinct ones).

The product of its digits is 40642560, while the sum is 63.

It can be divided in two parts, 2137528 and 796841, that added together give a square (2934369 = 1713²).

The spelling of 2137528796841 in words is "two trillion, one hundred thirty-seven billion, five hundred twenty-eight million, seven hundred ninety-six thousand, eight hundred forty-one".