1288054131 has 48 divisors (see below), whose sum is σ = 2157932448. Its totient is φ = 677376000.

The previous prime is 1288054127. The next prime is 1288054139. The reversal of 1288054131 is 1314508821.

It is not a de Polignac number, because 1288054131 - 2² = 1288054127 is a prime.

It is a super-2 number, since 2×1288054131² = 3318166888772330322, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1288054092 and 1288054101.

It is not an unprimeable number, because it can be changed into a prime (1288054139) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 803731 + ... + 805331.

It is an arithmetic number, because the mean of its divisors is an integer number (44956926).

Almost surely, 2^1288054131 is an apocalyptic number.

1288054131 is a deficient number, since it is larger than the sum of its proper divisors (869878317).

1288054131 is a wasteful number, since it uses less digits than its factorization.

1288054131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2052 (or 2045 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The square root of 1288054131 is about 35889.4710326023. The cubic root of 1288054131 is about 1088.0396070658.

The spelling of 1288054131 in words is "one billion, two hundred eighty-eight million, fifty-four thousand, one hundred thirty-one".