2100713617 has 2 divisors, whose sum is σ = 2100713618. Its totient is φ = 2100713616.

The previous prime is 2100713581. The next prime is 2100713621. The reversal of 2100713617 is 7163170012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2051727616 + 48986001 = 45296^2 + 6999^2 .

It is a cyclic number.

It is not a de Polignac number, because 2100713617 - 2²³ = 2092325009 is a prime.

It is a super-4 number, since 4×2100713617⁴ (a number of 38 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is not a weakly prime, because it can be changed into another prime (2100713917) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050356808 + 1050356809.

It is an arithmetic number, because the mean of its divisors is an integer number (1050356809).

Almost surely, 2^2100713617 is an apocalyptic number.

It is an amenable number.

2100713617 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100713617 is an equidigital number, since it uses as much as digits as its factorization.

2100713617 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1764, while the sum is 28.

The square root of 2100713617 is about 45833.5424880076. The cubic root of 2100713617 is about 1280.7242030142.

Adding to 2100713617 its reverse (7163170012), we get a palindrome (9263883629).

The spelling of 2100713617 in words is "two billion, one hundred million, seven hundred thirteen thousand, six hundred seventeen".