1290311288 has 128 divisors (see below), whose sum is σ = 3023308800. Its totient is φ = 503752704.

The previous prime is 1290311273. The next prime is 1290311303. The reversal of 1290311288 is 8821130921.

It is an interprime number because it is at equal distance from previous prime (1290311273) and next prime (1290311303).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5398673 + ... + 5398911.

It is an arithmetic number, because the mean of its divisors is an integer number (23619600).

Almost surely, 2^1290311288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1290311288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1511654400).

1290311288 is an abundant number, since it is smaller than the sum of its proper divisors (1732997512).

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

1290311288 is a wasteful number, since it uses less digits than its factorization.

1290311288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 35.

The square root of 1290311288 is about 35920.9032180428. The cubic root of 1290311288 is about 1088.6747882047.

The spelling of 1290311288 in words is "one billion, two hundred ninety million, three hundred eleven thousand, two hundred eighty-eight".