2065610610657 has 32 divisors (see below), whose sum is σ = 3338781150720. Its totient is φ = 1251727506000.

The previous prime is 2065610610631. The next prime is 2065610610677. The reversal of 2065610610657 is 7560160165602.

2065610610657 is a `hidden beast` number, since 20 + 6 + 5 + 6 + 1 + 0 + 610 + 6 + 5 + 7 = 666.

It is not a de Polignac number, because 2065610610657 - 2³¹ = 2063463127009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2065610610607) 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, 1945182 + ... + 2813352.

It is an arithmetic number, because the mean of its divisors is an integer number (104336910960).

Almost surely, 2^{2065610610657} is an apocalyptic number.

2065610610657 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

2065610610657 is a deficient number, since it is larger than the sum of its proper divisors (1273170540063).

2065610610657 is a wasteful number, since it uses less digits than its factorization.

2065610610657 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 876202 (or 876196 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 2065610610657 in words is "two trillion, sixty-five billion, six hundred ten million, six hundred ten thousand, six hundred fifty-seven".