1293055488 has 240 divisors, whose sum is σ = 4081197120. Its totient is φ = 407586816.

The previous prime is 1293055481. The next prime is 1293055541. The reversal of 1293055488 is 8845503921.

1293055488 is a `hidden beast` number, since 1 + 2 + 93 + 0 + 554 + 8 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1293055481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2363631 + ... + 2364177.

It is an arithmetic number, because the mean of its divisors is an integer number (17004988).

Almost surely, 2^1293055488 is an apocalyptic number.

1293055488 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1293055488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2040598560).

1293055488 is an abundant number, since it is smaller than the sum of its proper divisors (2788141632).

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

1293055488 is an frugal number, since it uses more digits than its factorization.

1293055488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 1293055488 is about 35959.0807446464. The cubic root of 1293055488 is about 1089.4460299816.

The spelling of 1293055488 in words is "one billion, two hundred ninety-three million, fifty-five thousand, four hundred eighty-eight".