2085261301377 has 16 divisors (see below), whose sum is σ = 3095182860480. Its totient is φ = 1387516114656.

The previous prime is 2085261301309. The next prime is 2085261301391. The reversal of 2085261301377 is 7731031625802.

2085261301377 is a `hidden beast` number, since 2 + 0 + 85 + 261 + 301 + 3 + 7 + 7 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-2085261301377 is a prime.

It is a super-2 number, since 2×2085261301377² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2085261305377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73821348 + ... + 73849589.

It is an arithmetic number, because the mean of its divisors is an integer number (193448928780).

Almost surely, 2^{2085261301377} is an apocalyptic number.

2085261301377 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

2085261301377 is a deficient number, since it is larger than the sum of its proper divisors (1009921559103).

2085261301377 is a wasteful number, since it uses less digits than its factorization.

2085261301377 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147671469 (or 147671463 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 2085261301377 in words is "two trillion, eighty-five billion, two hundred sixty-one million, three hundred one thousand, three hundred seventy-seven".