1288881801 has 15 divisors (see below), whose sum is σ = 1925849431. Its totient is φ = 859039128.

The previous prime is 1288881793. The next prime is 1288881821. The reversal of 1288881801 is 1081888821.

The square root of 1288881801 is 35901.

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., 607671801 + 681210000 = 24651^2 + 26100^2 .

It is not a de Polignac number, because 1288881801 - 2³ = 1288881793 is a prime.

It is a super-3 number, since 3×1288881801³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1288881821) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 321115 + ... + 325103.

Almost surely, 2^1288881801 is an apocalyptic number.

1288881801 is the 35901-st square number.

1288881801 is the 17951-st centered octagonal number.

It is an amenable number.

1288881801 is a deficient number, since it is larger than the sum of its proper divisors (636967630).

1288881801 is an frugal number, since it uses more digits than its factorization.

1288881801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7990 (or 3992 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 45.

The cubic root of 1288881801 is about 1088.2726057940.

Multiplying 1288881801 by its product of nonzero digits (65536), we get a square (84468157710336 = 9190656²).

The spelling of 1288881801 in words is "one billion, two hundred eighty-eight million, eight hundred eighty-one thousand, eight hundred one".