1282259552161 has 27 divisors (see below), whose sum is σ = 1510570801011. Its totient is φ = 1085280567504.

The previous prime is 1282259552089. The next prime is 1282259552209. The reversal of 1282259552161 is 1612559522821.

The square root of 1282259552161 is 1132369.

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., 1032599436561 + 249660115600 = 1016169^2 + 499660^2 .

It is not a de Polignac number, because 1282259552161 - 2¹³ = 1282259543969 is a prime.

It is a super-3 number, since 3×1282259552161³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1282259550161) 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, 657905415 + ... + 657907363.

Almost surely, 2^{1282259552161} is an apocalyptic number.

1282259552161 is the 1132369-th square number.

1282259552161 is the 566185-th centered octagonal number.

It is an amenable number.

1282259552161 is a deficient number, since it is larger than the sum of its proper divisors (228311248850).

1282259552161 is an frugal number, since it uses more digits than its factorization.

1282259552161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4078 (or 2039 counting only the distinct ones).

The product of its digits is 864000, while the sum is 49.

Multiplying 1282259552161 by its sum of digits (49), we get a square (62830718055889 = 7926583²).

1282259552161 divided by its sum of digits (49) gives a square (26168562289 = 161767²).

The spelling of 1282259552161 in words is "one trillion, two hundred eighty-two billion, two hundred fifty-nine million, five hundred fifty-two thousand, one hundred sixty-one".