2657116101 has 16 divisors (see below), whose sum is σ = 3741405696. Its totient is φ = 1673974896.

The previous prime is 2657116087. The next prime is 2657116139. The reversal of 2657116101 is 1016117562.

It is not a de Polignac number, because 2657116101 - 2⁷ = 2657115973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2657116801) 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, 226255 + ... + 237708.

It is an arithmetic number, because the mean of its divisors is an integer number (233837856).

Almost surely, 2^2657116101 is an apocalyptic number.

It is an amenable number.

2657116101 is a deficient number, since it is larger than the sum of its proper divisors (1084289595).

2657116101 is a wasteful number, since it uses less digits than its factorization.

2657116101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464072.

The product of its (nonzero) digits is 2520, while the sum is 30.

The square root of 2657116101 is about 51547.2220493016. Note that the first 3 decimals coincide. The cubic root of 2657116101 is about 1385.0650702962.

The spelling of 2657116101 in words is "two billion, six hundred fifty-seven million, one hundred sixteen thousand, one hundred one".