205345122377 has 32 divisors (see below), whose sum is σ = 221085849600. Its totient is φ = 190281244032.

The previous prime is 205345122371. The next prime is 205345122383. The reversal of 205345122377 is 773221543502.

It is an interprime number because it is at equal distance from previous prime (205345122371) and next prime (205345122383).

It is a cyclic number.

It is not a de Polignac number, because 205345122377 - 2²⁸ = 205076686921 is a prime.

It is a super-2 number, since 2×205345122377² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (205345122371) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49442933 + ... + 49447085.

It is an arithmetic number, because the mean of its divisors is an integer number (6908932800).

Almost surely, 2^205345122377 is an apocalyptic number.

It is an amenable number.

205345122377 is a deficient number, since it is larger than the sum of its proper divisors (15740727223).

205345122377 is a wasteful number, since it uses less digits than its factorization.

205345122377 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4757.

The product of its (nonzero) digits is 352800, while the sum is 41.

Adding to 205345122377 its reverse (773221543502), we get a palindrome (978566665879).

The spelling of 205345122377 in words is "two hundred five billion, three hundred forty-five million, one hundred twenty-two thousand, three hundred seventy-seven".