1004625541161 has 48 divisors (see below), whose sum is σ = 1626313223808. Its totient is φ = 592232601600.

The previous prime is 1004625541099. The next prime is 1004625541201. The reversal of 1004625541161 is 1611455264001.

1004625541161 is a `hidden beast` number, since 1 + 0 + 0 + 46 + 2 + 554 + 1 + 1 + 61 = 666.

It is not a de Polignac number, because 1004625541161 - 2⁶ = 1004625541097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1004625546161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12880521 + ... + 12958281.

It is an arithmetic number, because the mean of its divisors is an integer number (33881525496).

Almost surely, 2^{1004625541161} is an apocalyptic number.

1004625541161 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1004625541161 is a deficient number, since it is larger than the sum of its proper divisors (621687682647).

1004625541161 is a wasteful number, since it uses less digits than its factorization.

1004625541161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81342 (or 81339 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 1004625541161 in words is "one trillion, four billion, six hundred twenty-five million, five hundred forty-one thousand, one hundred sixty-one".