2117538657 has 24 divisors (see below), whose sum is σ = 3467318400. Its totient is φ = 1234515168.

The previous prime is 2117538653. The next prime is 2117538697. The reversal of 2117538657 is 7568357112.

It is a happy number.

2117538657 is a `hidden beast` number, since 211 + 7 + 5 + 386 + 57 = 666.

It is not a de Polignac number, because 2117538657 - 2² = 2117538653 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2117538653) 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 23 ways as a sum of consecutive naturals, for example, 474057 + ... + 478502.

It is an arithmetic number, because the mean of its divisors is an integer number (144471600).

Almost surely, 2^2117538657 is an apocalyptic number.

It is an amenable number.

2117538657 is a deficient number, since it is larger than the sum of its proper divisors (1349779743).

2117538657 is a wasteful number, since it uses less digits than its factorization.

2117538657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952597 (or 952594 counting only the distinct ones).

The product of its digits is 352800, while the sum is 45.

The square root of 2117538657 is about 46016.7214933876. The cubic root of 2117538657 is about 1284.1343080895.

The spelling of 2117538657 in words is "two billion, one hundred seventeen million, five hundred thirty-eight thousand, six hundred fifty-seven".