1036727642257 has 8 divisors (see below), whose sum is σ = 1049581555880. Its totient is φ = 1023934504320.

The previous prime is 1036727642243. The next prime is 1036727642287. The reversal of 1036727642257 is 7522467276301.

It can be written as a sum of positive squares in 4 ways, for example, as 259081216 + 1036468561041 = 16096^2 + 1018071^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1036727642257 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1036727642207) 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 7 ways as a sum of consecutive naturals, for example, 15159594 + ... + 15227827.

It is an arithmetic number, because the mean of its divisors is an integer number (131197694485).

Almost surely, 2^{1036727642257} is an apocalyptic number.

It is an amenable number.

1036727642257 is a deficient number, since it is larger than the sum of its proper divisors (12853913623).

1036727642257 is a wasteful number, since it uses less digits than its factorization.

1036727642257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30387843.

The product of its (nonzero) digits is 5927040, while the sum is 52.

The spelling of 1036727642257 in words is "one trillion, thirty-six billion, seven hundred twenty-seven million, six hundred forty-two thousand, two hundred fifty-seven".