1157993541 has 6 divisors (see below), whose sum is σ = 1672657350. Its totient is φ = 771995688.

The previous prime is 1157993533. The next prime is 1157993587. The reversal of 1157993541 is 1453997511.

1157993541 is a `hidden beast` number, since 1 + 1 + 579 + 9 + 35 + 41 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1007808516 + 150185025 = 31746^2 + 12255^2 .

It is not a de Polignac number, because 1157993541 - 2³ = 1157993533 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1157993041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 64332966 + ... + 64332983.

It is an arithmetic number, because the mean of its divisors is an integer number (278776225).

Almost surely, 2^1157993541 is an apocalyptic number.

It is an amenable number.

1157993541 is a deficient number, since it is larger than the sum of its proper divisors (514663809).

1157993541 is a wasteful number, since it uses less digits than its factorization.

1157993541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128665955 (or 128665952 counting only the distinct ones).

The product of its digits is 170100, while the sum is 45.

The square root of 1157993541 is about 34029.3041509814. The cubic root of 1157993541 is about 1050.1114140279. Note that the first 3 decimals are identical.

The spelling of 1157993541 in words is "one billion, one hundred fifty-seven million, nine hundred ninety-three thousand, five hundred forty-one".