1017937727041 has 9 divisors (see below), whose sum is σ = 1020151070913. Its totient is φ = 1015729181460.

The previous prime is 1017937727029. The next prime is 1017937727047. The reversal of 1017937727041 is 1407277397101.

The square root of 1017937727041 is 1008929.

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

It is not a de Polignac number, because 1017937727041 - 2⁷ = 1017937726913 is a prime.

It is a super-2 number, since 2×1017937727041² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1017937727047) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 664883446 + ... + 664884976.

Almost surely, 2^{1017937727041} is an apocalyptic number.

1017937727041 is the 1008929-th square number.

1017937727041 is the 504465-th centered octagonal number.

It is an amenable number.

1017937727041 is a deficient number, since it is larger than the sum of its proper divisors (2213343872).

1017937727041 is an frugal number, since it uses more digits than its factorization.

1017937727041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4380 (or 2190 counting only the distinct ones).

The product of its (nonzero) digits is 518616, while the sum is 49.

Multiplying 1017937727041 by its sum of digits (49), we get a square (49878948625009 = 7062503²).

The spelling of 1017937727041 in words is "one trillion, seventeen billion, nine hundred thirty-seven million, seven hundred twenty-seven thousand, forty-one".