1288526904 has 96 divisors (see below), whose sum is σ = 4117002240. Its totient is φ = 356270400.

The previous prime is 1288526903. The next prime is 1288526923. The reversal of 1288526904 is 4096258821.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1288526904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1288526903) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25612 + ... + 56859.

It is an arithmetic number, because the mean of its divisors is an integer number (42885440).

Almost surely, 2^1288526904 is an apocalyptic number.

1288526904 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1288526904 is an abundant number, since it is smaller than the sum of its proper divisors (2828475336).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1288526904 is a wasteful number, since it uses less digits than its factorization.

1288526904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82521 (or 82514 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 1288526904 is about 35896.0569422325. The cubic root of 1288526904 is about 1088.1727103815.

The spelling of 1288526904 in words is "one billion, two hundred eighty-eight million, five hundred twenty-six thousand, nine hundred four".