20001010001957 has 2 divisors, whose sum is σ = 20001010001958. Its totient is φ = 20001010001956.

The previous prime is 20001010001953. The next prime is 20001010002011. The reversal of 20001010001957 is 75910001010002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 19867755070276 + 133254931681 = 4457326^2 + 365041^2 .

It is a cyclic number.

It is not a de Polignac number, because 20001010001957 - 2² = 20001010001953 is a prime.

It is a super-3 number, since 3×20001010001957³ (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20001010001953) 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, 10000505000978 + 10000505000979.

It is an arithmetic number, because the mean of its divisors is an integer number (10000505000979).

Almost surely, 2^{20001010001957} is an apocalyptic number.

It is an amenable number.

20001010001957 is a deficient number, since it is larger than the sum of its proper divisors (1).

20001010001957 is an equidigital number, since it uses as much as digits as its factorization.

20001010001957 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 630, while the sum is 26.

Adding to 20001010001957 its reverse (75910001010002), we get a palindrome (95911011011959).

The spelling of 20001010001957 in words is "twenty trillion, one billion, ten million, one thousand, nine hundred fifty-seven".