1053971210161 has 9 divisors (see below), whose sum is σ = 1056060428779. Its totient is φ = 1051886122600.

The previous prime is 1053971210153. The next prime is 1053971210179. The reversal of 1053971210161 is 1610121793501.

The square root of 1053971210161 is 1026631.

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

It can be written as a sum of positive squares in only one way, i.e., 653560681761 + 400410528400 = 808431^2 + 632780^2 .

It is not a de Polignac number, because 1053971210161 - 2³ = 1053971210153 is a prime.

It is a super-2 number, since 2×1053971210161² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1053971210161.

It is not an unprimeable number, because it can be changed into a prime (1053971210111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 966059226 + ... + 966060316.

Almost surely, 2^{1053971210161} is an apocalyptic number.

1053971210161 is the 1026631-st square number.

1053971210161 is the 513316-th centered octagonal number.

It is an amenable number.

1053971210161 is a deficient number, since it is larger than the sum of its proper divisors (2089218618).

1053971210161 is an frugal number, since it uses more digits than its factorization.

1053971210161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4064 (or 2032 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 37.

The spelling of 1053971210161 in words is "one trillion, fifty-three billion, nine hundred seventy-one million, two hundred ten thousand, one hundred sixty-one".