10249378757 has 2 divisors, whose sum is σ = 10249378758. Its totient is φ = 10249378756.

The previous prime is 10249378729. The next prime is 10249378759. The reversal of 10249378757 is 75787394201.

10249378757 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5715511201 + 4533867556 = 75601^2 + 67334^2 .

It is a cyclic number.

It is not a de Polignac number, because 10249378757 - 2¹² = 10249374661 is a prime.

Together with 10249378759, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 10249378699 and 10249378708.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10249378759) 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 as a sum of consecutive naturals, namely, 5124689378 + 5124689379.

It is an arithmetic number, because the mean of its divisors is an integer number (5124689379).

Almost surely, 2^10249378757 is an apocalyptic number.

It is an amenable number.

10249378757 is a deficient number, since it is larger than the sum of its proper divisors (1).

10249378757 is an equidigital number, since it uses as much as digits as its factorization.

10249378757 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2963520, while the sum is 53.

The spelling of 10249378757 in words is "ten billion, two hundred forty-nine million, three hundred seventy-eight thousand, seven hundred fifty-seven".