1286872129 has 9 divisors (see below), whose sum is σ = 1333855497. Its totient is φ = 1241492784.

The previous prime is 1286872117. The next prime is 1286872177. The reversal of 1286872129 is 9212786821.

The square root of 1286872129 is 35873.

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

It can be written as a sum of positive squares in 4 ways, for example, as 106812225 + 1180059904 = 10335^2 + 34352^2 .

It is not a de Polignac number, because 1286872129 - 2²¹ = 1284774977 is a prime.

It is a super-3 number, since 3×1286872129³ (a number of 28 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1286872189) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1039699 + ... + 1040935.

Almost surely, 2^1286872129 is an apocalyptic number.

1286872129 is the 35873-rd square number.

1286872129 is the 17937-th centered octagonal number.

It is an amenable number.

1286872129 is a deficient number, since it is larger than the sum of its proper divisors (46983368).

1286872129 is an frugal number, since it uses more digits than its factorization.

1286872129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2532 (or 1266 counting only the distinct ones).

The product of its digits is 193536, while the sum is 46.

The cubic root of 1286872129 is about 1087.7066866413.

It can be divided in two parts, 128687 and 2129, that added together give a triangular number (130816 = T₅₁₁).

The spelling of 1286872129 in words is "one billion, two hundred eighty-six million, eight hundred seventy-two thousand, one hundred twenty-nine".