2001157993 has 2 divisors, whose sum is σ = 2001157994. Its totient is φ = 2001157992.

The previous prime is 2001157937. The next prime is 2001158011. The reversal of 2001157993 is 3997511002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1571963904 + 429194089 = 39648^2 + 20717^2 .

It is a cyclic number.

It is not a de Polignac number, because 2001157993 - 2²⁹ = 1464287081 is a prime.

It is not a weakly prime, because it can be changed into another prime (2001157393) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1000578996 + 1000578997.

It is an arithmetic number, because the mean of its divisors is an integer number (1000578997).

Almost surely, 2^2001157993 is an apocalyptic number.

It is an amenable number.

2001157993 is a deficient number, since it is larger than the sum of its proper divisors (1).

2001157993 is an equidigital number, since it uses as much as digits as its factorization.

2001157993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 17010, while the sum is 37.

The square root of 2001157993 is about 44734.3044318340. The cubic root of 2001157993 is about 1260.1641662725.

Adding to 2001157993 its reverse (3997511002), we get a palindrome (5998668995).

The spelling of 2001157993 in words is "two billion, one million, one hundred fifty-seven thousand, nine hundred ninety-three".