2048777136025 has 27 divisors (see below), whose sum is σ = 2550095319261. Its totient is φ = 1632843980640.

The previous prime is 2048777136017. The next prime is 2048777136037. The reversal of 2048777136025 is 5206317778402.

The square root of 2048777136025 is 1431355.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1197232060761 + 851545075264 = 1094181^2 + 922792^2 .

It is not a de Polignac number, because 2048777136025 - 2³ = 2048777136017 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3342213619 + ... + 3342214231.

Almost surely, 2^{2048777136025} is an apocalyptic number.

2048777136025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2048777136025 is the 1431355-th square number.

2048777136025 is the 715678-th centered octagonal number.

It is an amenable number.

2048777136025 is a deficient number, since it is larger than the sum of its proper divisors (501318183236).

2048777136025 is an frugal number, since it uses more digits than its factorization.

2048777136025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2170 (or 1085 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 52.

The spelling of 2048777136025 in words is "two trillion, forty-eight billion, seven hundred seventy-seven million, one hundred thirty-six thousand, twenty-five".