2048508050121 has 75 divisors (see below), whose sum is σ = 3318644499203. Its totient is φ = 1259280678240.

The previous prime is 2048508050023. The next prime is 2048508050153. The reversal of 2048508050121 is 1210508058402.

The square root of 2048508050121 is 1431261.

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

2048508050121 is a `hidden beast` number, since 2 + 0 + 4 + 8 + 50 + 80 + 501 + 21 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 2016431240121 + 32076810000 = 1420011^2 + 179100^2 .

It is a de Polignac number, because none of the positive numbers 2^k-2048508050121 is a prime.

It is a super-2 number, since 2×2048508050121² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2048508052121) by changing a digit.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 2176947511 + ... + 2176948451.

Almost surely, 2^{2048508050121} is an apocalyptic number.

2048508050121 is the 1431261-st square number.

2048508050121 is the 715631-st centered octagonal number.

It is an amenable number.

2048508050121 is a deficient number, since it is larger than the sum of its proper divisors (1270136449082).

2048508050121 is an frugal number, since it uses more digits than its factorization.

2048508050121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1946 (or 957 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

Multiplying 2048508050121 by its sum of digits (36), we get a square (73746289804356 = 8587566²).

The spelling of 2048508050121 in words is "two trillion, forty-eight billion, five hundred eight million, fifty thousand, one hundred twenty-one".