984125504961 has 27 divisors (see below), whose sum is σ = 1468986845313. Its totient is φ = 634860158760.

The previous prime is 984125504953. The next prime is 984125504969. The reversal of 984125504961 is 169405521489.

The square root of 984125504961 is 992031.

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

984125504961 is a `hidden beast` number, since 9 + 8 + 4 + 125 + 504 + 9 + 6 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (984125504953) and next prime (984125504969).

It is not a de Polignac number, because 984125504961 - 2³ = 984125504953 is a prime.

It is a super-2 number, since 2×984125504961² (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 984125504898 and 984125504907.

It is not an unprimeable number, because it can be changed into a prime (984125504969) 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, 92253550 + ... + 92264216.

Almost surely, 2^984125504961 is an apocalyptic number.

984125504961 is the 992031-st square number.

984125504961 is the 496016-th centered octagonal number.

It is an amenable number.

984125504961 is a deficient number, since it is larger than the sum of its proper divisors (484861340352).

984125504961 is an frugal number, since it uses more digits than its factorization.

984125504961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21402 (or 10701 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 984125504961 in words is "nine hundred eighty-four billion, one hundred twenty-five million, five hundred four thousand, nine hundred sixty-one".