1157953216317 has 16 divisors (see below), whose sum is σ = 1551856332672. Its totient is φ = 768017891520.

The previous prime is 1157953216291. The next prime is 1157953216319. The reversal of 1157953216317 is 7136123597511.

It is a happy number.

It is not a de Polignac number, because 1157953216317 - 2²⁰ = 1157952167741 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1157953216317.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1157953216319) 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, 504753 + ... + 1603334.

It is an arithmetic number, because the mean of its divisors is an integer number (96991020792).

Almost surely, 2^{1157953216317} is an apocalyptic number.

It is an amenable number.

1157953216317 is a deficient number, since it is larger than the sum of its proper divisors (393903116355).

1157953216317 is a wasteful number, since it uses less digits than its factorization.

1157953216317 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2109028.

The product of its digits is 1190700, while the sum is 51.

The spelling of 1157953216317 in words is "one trillion, one hundred fifty-seven billion, nine hundred fifty-three million, two hundred sixteen thousand, three hundred seventeen".