10010009737957 has 2 divisors, whose sum is σ = 10010009737958. Its totient is φ = 10010009737956.

The previous prime is 10010009737933. The next prime is 10010009737969. The reversal of 10010009737957 is 75973790001001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9704633031076 + 305376706881 = 3115226^2 + 552609^2 .

It is an emirp because it is prime and its reverse (75973790001001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10010009737957 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10010009737957.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10010009717957) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005004868978 + 5005004868979.

It is an arithmetic number, because the mean of its divisors is an integer number (5005004868979).

Almost surely, 2^{10010009737957} is an apocalyptic number.

It is an amenable number.

10010009737957 is a deficient number, since it is larger than the sum of its proper divisors (1).

10010009737957 is an equidigital number, since it uses as much as digits as its factorization.

10010009737957 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 416745, while the sum is 49.

Adding to 10010009737957 its reverse (75973790001001), we get a palindrome (85983799738958).

The spelling of 10010009737957 in words is "ten trillion, ten billion, nine million, seven hundred thirty-seven thousand, nine hundred fifty-seven".