1011001009957 has 2 divisors, whose sum is σ = 1011001009958. Its totient is φ = 1011001009956.

The previous prime is 1011001009951. The next prime is 1011001009969. The reversal of 1011001009957 is 7599001001101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1007562243076 + 3438766881 = 1003774^2 + 58641^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1011001009957 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1011001009951) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505500504978 + 505500504979.

It is an arithmetic number, because the mean of its divisors is an integer number (505500504979).

Almost surely, 2^{1011001009957} is an apocalyptic number.

It is an amenable number.

1011001009957 is a deficient number, since it is larger than the sum of its proper divisors (1).

1011001009957 is an equidigital number, since it uses as much as digits as its factorization.

1011001009957 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2835, while the sum is 34.

The spelling of 1011001009957 in words is "one trillion, eleven billion, one million, nine thousand, nine hundred fifty-seven".