1017112257 has 36 divisors (see below), whose sum is σ = 1711961940. Its totient is φ = 580208832.

The previous prime is 1017112253. The next prime is 1017112309. The reversal of 1017112257 is 7522117101.

It can be written as a sum of positive squares in 2 ways, for example, as 660695616 + 356416641 = 25704^2 + 18879^2 .

It is not a de Polignac number, because 1017112257 - 2² = 1017112253 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1017112257.

It is not an unprimeable number, because it can be changed into a prime (1017112253) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 311043 + ... + 314295.

Almost surely, 2^1017112257 is an apocalyptic number.

It is an amenable number.

1017112257 is a deficient number, since it is larger than the sum of its proper divisors (694849683).

1017112257 is a wasteful number, since it uses less digits than its factorization.

1017112257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3982 (or 3972 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 27.

The square root of 1017112257 is about 31892.1974313467. The cubic root of 1017112257 is about 1005.6718549075.

Adding to 1017112257 its reverse (7522117101), we get a palindrome (8539229358).

The spelling of 1017112257 in words is "one billion, seventeen million, one hundred twelve thousand, two hundred fifty-seven".