1581061248 has 192 divisors, whose sum is σ = 5054752800. Its totient is φ = 486300672.

The previous prime is 1581061189. The next prime is 1581061259. The reversal of 1581061248 is 8421601851.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 582711 + ... + 585417.

Almost surely, 2^1581061248 is an apocalyptic number.

1581061248 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 1581061248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2527376400).

1581061248 is an abundant number, since it is smaller than the sum of its proper divisors (3473691552).

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

1581061248 is a wasteful number, since it uses less digits than its factorization.

1581061248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2756 (or 2725 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 1581061248 is about 39762.5608833234. The cubic root of 1581061248 is about 1164.9739961163.

The spelling of 1581061248 in words is "one billion, five hundred eighty-one million, sixty-one thousand, two hundred forty-eight".