1054561041 has 12 divisors (see below), whose sum is σ = 1560407940. Its totient is φ = 685893120.

The previous prime is 1054561033. The next prime is 1054561049. The reversal of 1054561041 is 1401654501.

1054561041 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 5 + 610 + 41 = 666.

It is an interprime number because it is at equal distance from previous prime (1054561033) and next prime (1054561049).

It can be written as a sum of positive squares in 2 ways, for example, as 153660816 + 900900225 = 12396^2 + 30015^2 .

It is not a de Polignac number, because 1054561041 - 2³ = 1054561033 is a prime.

It is a super-2 number, since 2×1054561041² = 2224197978390007362, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1054560996 and 1054561014.

It is not an unprimeable number, because it can be changed into a prime (1054561049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1428576 + ... + 1429313.

It is an arithmetic number, because the mean of its divisors is an integer number (130033995).

Almost surely, 2^1054561041 is an apocalyptic number.

It is an amenable number.

1054561041 is a deficient number, since it is larger than the sum of its proper divisors (505846899).

1054561041 is a wasteful number, since it uses less digits than its factorization.

1054561041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2857936 (or 2857933 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 1054561041 is about 32474.0056198800. The cubic root of 1054561041 is about 1017.8659216296.

The spelling of 1054561041 in words is "one billion, fifty-four million, five hundred sixty-one thousand, forty-one".