1157042117 has 32 divisors (see below), whose sum is σ = 1593851904. Its totient is φ = 811641600.

The previous prime is 1157042077. The next prime is 1157042119. The reversal of 1157042117 is 7112407511.

It is not a de Polignac number, because 1157042117 - 2⁶ = 1157042053 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1157042117.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1157042119) 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 in 31 ways as a sum of consecutive naturals, for example, 10892 + ... + 49322.

It is an arithmetic number, because the mean of its divisors is an integer number (49807872).

Almost surely, 2^1157042117 is an apocalyptic number.

1157042117 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

1157042117 is a deficient number, since it is larger than the sum of its proper divisors (436809787).

1157042117 is a wasteful number, since it uses less digits than its factorization.

1157042117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38489.

The product of its (nonzero) digits is 1960, while the sum is 29.

The square root of 1157042117 is about 34015.3217976841. The cubic root of 1157042117 is about 1049.8237397256.

Adding to 1157042117 its reverse (7112407511), we get a palindrome (8269449628).

The spelling of 1157042117 in words is "one billion, one hundred fifty-seven million, forty-two thousand, one hundred seventeen".