7681257101 has 24 divisors (see below), whose sum is σ = 9468646200. Its totient is φ = 6191603712.

The previous prime is 7681257083. The next prime is 7681257107. The reversal of 7681257101 is 1017521867.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 94672900 + 7586584201 = 9730^2 + 87101^2 .

It is a de Polignac number, because none of the positive numbers 2^k-7681257101 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7681257107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1287341 + ... + 1293293.

It is an arithmetic number, because the mean of its divisors is an integer number (394526925).

Almost surely, 2^7681257101 is an apocalyptic number.

It is an amenable number.

7681257101 is a deficient number, since it is larger than the sum of its proper divisors (1787389099).

7681257101 is a wasteful number, since it uses less digits than its factorization.

7681257101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7533 (or 7526 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 38.

The square root of 7681257101 is about 87642.7812258374. The cubic root of 7681257101 is about 1973.0773021215.

Adding to 7681257101 its reverse (1017521867), we get a palindrome (8698778968).

The spelling of 7681257101 in words is "seven billion, six hundred eighty-one million, two hundred fifty-seven thousand, one hundred one".