1017134777961 has 27 divisors (see below), whose sum is σ = 1525747193373. Its totient is φ = 678035391300.

The previous prime is 1017134777933. The next prime is 1017134778001. The reversal of 1017134777961 is 1697774317101.

The square root of 1017134777961 is 1008531.

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

1017134777961 is a `hidden beast` number, since 1 + 0 + 171 + 347 + 7 + 79 + 61 = 666.

It is a tau number, because it is divible by the number of its divisors (27).

It is not a de Polignac number, because 1017134777961 - 2²⁹ = 1016597907049 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1017134777898 and 1017134777907.

It is not an unprimeable number, because it can be changed into a prime (1017134777161) 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, 81684786 + ... + 81697236.

Almost surely, 2^{1017134777961} is an apocalyptic number.

1017134777961 is the 1008531-st square number.

1017134777961 is the 504266-th centered octagonal number.

It is an amenable number.

1017134777961 is a deficient number, since it is larger than the sum of its proper divisors (508612415412).

1017134777961 is an frugal number, since it uses more digits than its factorization.

1017134777961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24926 (or 12454 counting only the distinct ones).

The product of its (nonzero) digits is 1555848, while the sum is 54.

The spelling of 1017134777961 in words is "one trillion, seventeen billion, one hundred thirty-four million, seven hundred seventy-seven thousand, nine hundred sixty-one".