9957157137241 has 8 divisors (see below), whose sum is σ = 9973601393544. Its totient is φ = 9940716539520.

The previous prime is 9957157137233. The next prime is 9957157137253. The reversal of 9957157137241 is 1427317517599.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1284697568025 + 8672459569216 = 1133445^2 + 2944904^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 9957157137241 - 2³ = 9957157137233 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 9957157137241.

It is not an unprimeable number, because it can be changed into a prime (9957157137271) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4560051 + ... + 6380311.

It is an arithmetic number, because the mean of its divisors is an integer number (1246700174193).

Almost surely, 2^{9957157137241} is an apocalyptic number.

It is an amenable number.

9957157137241 is a deficient number, since it is larger than the sum of its proper divisors (16444256303).

9957157137241 is a wasteful number, since it uses less digits than its factorization.

9957157137241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1829291.

The product of its digits is 16669800, while the sum is 61.

The spelling of 9957157137241 in words is "nine trillion, nine hundred fifty-seven billion, one hundred fifty-seven million, one hundred thirty-seven thousand, two hundred forty-one".