1258815488 has 100 divisors (see below), whose sum is σ = 2937058575. Its totient is φ = 539492352.

The previous prime is 1258815479. The next prime is 1258815511. The reversal of 1258815488 is 8845188521.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 629407744 + 629407744 = 25088^2 + 25088^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=25088.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 4 ways as a sum of consecutive naturals, for example, 179830781 + ... + 179830787.

Almost surely, 2^1258815488 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 1258815488

1258815488 is an abundant number, since it is smaller than the sum of its proper divisors (1678243087).

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

1258815488 is an frugal number, since it uses more digits than its factorization.

1258815488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 9 counting only the distinct ones).

The product of its digits is 819200, while the sum is 50.

The square root of 1258815488 is about 35479.7898528162. The cubic root of 1258815488 is about 1079.7437343505.

Multiplying 1258815488 by its sum of digits (50), we get a square (62940774400 = 250880²).

The spelling of 1258815488 in words is "one billion, two hundred fifty-eight million, eight hundred fifteen thousand, four hundred eighty-eight".