1053100806849 has 225 divisors, whose sum is σ = 1998428358003. Its totient is φ = 552378494304.

The previous prime is 1053100806841. The next prime is 1053100806893. The reversal of 1053100806849 is 9486080013501.

The square root of 1053100806849 is 1026207.

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

1053100806849 is a `hidden beast` number, since 10 + 531 + 0 + 0 + 8 + 0 + 68 + 49 = 666.

It can be written as a sum of positive squares in only one way, i.e., 155784143025 + 897316663824 = 394695^2 + 947268^2 .

It is not a de Polignac number, because 1053100806849 - 2³ = 1053100806841 is a prime.

It is a super-2 number, since 2×1053100806849² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1053100806841) 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 224 ways as a sum of consecutive naturals, for example, 5883244642 + ... + 5883244820.

Almost surely, 2^{1053100806849} is an apocalyptic number.

1053100806849 is the 1026207-th square number.

1053100806849 is the 513104-th centered octagonal number.

It is an amenable number.

1053100806849 is a deficient number, since it is larger than the sum of its proper divisors (945327551154).

1053100806849 is an frugal number, since it uses more digits than its factorization.

1053100806849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 1053100806849 in words is "one trillion, fifty-three billion, one hundred million, eight hundred six thousand, eight hundred forty-nine".