1017857014321 has 27 divisors (see below), whose sum is σ = 1196715591147. Its totient is φ = 863205428400.

The previous prime is 1017857014319. The next prime is 1017857014327. The reversal of 1017857014321 is 1234107587101.

The square root of 1017857014321 is 1008889.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 977944965921 + 39912048400 = 988911^2 + 199780^2 .

It is not a de Polignac number, because 1017857014321 - 2¹ = 1017857014319 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1017857014327) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 713283810 + ... + 713285236.

Almost surely, 2^{1017857014321} is an apocalyptic number.

1017857014321 is the 1008889-th square number.

1017857014321 is the 504445-th centered octagonal number.

It is an amenable number.

1017857014321 is a deficient number, since it is larger than the sum of its proper divisors (178858576826).

1017857014321 is an frugal number, since it uses more digits than its factorization.

1017857014321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3070 (or 1535 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 40.

The spelling of 1017857014321 in words is "one trillion, seventeen billion, eight hundred fifty-seven million, fourteen thousand, three hundred twenty-one".