1007018271009 has 27 divisors (see below), whose sum is σ = 1464075115633. Its totient is φ = 666992317992.

The previous prime is 1007018270983. The next prime is 1007018271019. The reversal of 1007018271009 is 9001728107001.

The square root of 1007018271009 is 1003503.

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

It is not a de Polignac number, because 1007018271009 - 2⁹ = 1007018270497 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1007018271019) 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, 502754002 + ... + 502756004.

Almost surely, 2^{1007018271009} is an apocalyptic number.

1007018271009 is the 1003503-rd square number.

1007018271009 is the 501752-nd centered octagonal number.

It is an amenable number.

1007018271009 is a deficient number, since it is larger than the sum of its proper divisors (457056844624).

1007018271009 is an frugal number, since it uses more digits than its factorization.

1007018271009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4346 (or 2173 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 36.

Multiplying 1007018271009 by its sum of digits (36), we get a square (36252657756324 = 6021018²).

The spelling of 1007018271009 in words is "one trillion, seven billion, eighteen million, two hundred seventy-one thousand, nine".