2036075001921 has 9 divisors (see below), whose sum is σ = 2941003408291. Its totient is φ = 1357380480792.

The previous prime is 2036075001881. The next prime is 2036075001923. The reversal of 2036075001921 is 1291005706302.

The square root of 2036075001921 is 1426911.

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

2036075001921 is a `hidden beast` number, since 2 + 0 + 3 + 60 + 7 + 500 + 1 + 92 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1950673122225 + 85401879696 = 1396665^2 + 292236^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 2036075001921 - 2¹⁵ = 2036074969153 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2036075001923) 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, 4042915 + ... + 4518551.

Almost surely, 2^{2036075001921} is an apocalyptic number.

2036075001921 is the 1426911-st square number.

2036075001921 is the 713456-th centered octagonal number.

It is an amenable number.

2036075001921 is a deficient number, since it is larger than the sum of its proper divisors (904928406370).

2036075001921 is an frugal number, since it uses more digits than its factorization.

2036075001921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 951280 (or 475640 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

Multiplying 2036075001921 by its sum of digits (36), we get a square (73298700069156 = 8561466²).

The spelling of 2036075001921 in words is "two trillion, thirty-six billion, seventy-five million, one thousand, nine hundred twenty-one".