10000010000957 has 2 divisors, whose sum is σ = 10000010000958. Its totient is φ = 10000010000956.

The previous prime is 10000010000923. The next prime is 10000010000971. The reversal of 10000010000957 is 75900001000001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7564447125316 + 2435562875641 = 2750354^2 + 1560629^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10000010000957 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10000010003957) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000005000478 + 5000005000479.

It is an arithmetic number, because the mean of its divisors is an integer number (5000005000479).

Almost surely, 2^{10000010000957} is an apocalyptic number.

It is an amenable number.

10000010000957 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000010000957 is an equidigital number, since it uses as much as digits as its factorization.

10000010000957 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 315, while the sum is 23.

Adding to 10000010000957 its reverse (75900001000001), we get a palindrome (85900011000958).

The spelling of 10000010000957 in words is "ten trillion, ten million, nine hundred fifty-seven", and thus it is an aban number.