1157117511 has 16 divisors (see below), whose sum is σ = 1756258560. Its totient is φ = 670792320.

The previous prime is 1157117497. The next prime is 1157117543.

1157117511 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1157117511 - 2⁷ = 1157117383 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1157117011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 761506 + ... + 763023.

It is an arithmetic number, because the mean of its divisors is an integer number (109766160).

Almost surely, 2^1157117511 is an apocalyptic number.

1157117511 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1157117511 is a deficient number, since it is larger than the sum of its proper divisors (599141049).

1157117511 is a wasteful number, since it uses less digits than its factorization.

1157117511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1524566.

The product of its digits is 1225, while the sum is 30.

The square root of 1157117511 is about 34016.4300155087. The cubic root of 1157117511 is about 1049.8465417454.

The spelling of 1157117511 in words is "one billion, one hundred fifty-seven million, one hundred seventeen thousand, five hundred eleven".