1288261377 has 24 divisors (see below), whose sum is σ = 2121845544. Its totient is φ = 746141184.

The previous prime is 1288261357. The next prime is 1288261397. The reversal of 1288261377 is 7731628821.

1288261377 is a `hidden beast` number, since 1 + 28 + 8 + 2 + 613 + 7 + 7 = 666.

It is an interprime number because it is at equal distance from previous prime (1288261357) and next prime (1288261397).

It can be written as a sum of positive squares in 4 ways, for example, as 477378801 + 810882576 = 21849^2 + 28476^2 .

It is not a de Polignac number, because 1288261377 - 2²² = 1284067073 is a prime.

It is a super-2 number, since 2×1288261377² = 3319234750939872258, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1288261357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 321858 + ... + 325835.

It is an arithmetic number, because the mean of its divisors is an integer number (88410231).

Almost surely, 2^1288261377 is an apocalyptic number.

1288261377 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

1288261377 is a deficient number, since it is larger than the sum of its proper divisors (833584167).

1288261377 is a wasteful number, since it uses less digits than its factorization.

1288261377 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647729 (or 647726 counting only the distinct ones).

The product of its digits is 225792, while the sum is 45.

The square root of 1288261377 is about 35892.3581978114. The cubic root of 1288261377 is about 1088.0979585896.

The spelling of 1288261377 in words is "one billion, two hundred eighty-eight million, two hundred sixty-one thousand, three hundred seventy-seven".