1581025264 has 160 divisors (see below), whose sum is σ = 4032519680. Its totient is φ = 583013376.

The previous prime is 1581025261. The next prime is 1581025319. The reversal of 1581025264 is 4625201851.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1581025261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1853062 + ... + 1853914.

It is an arithmetic number, because the mean of its divisors is an integer number (25203248).

Almost surely, 2^1581025264 is an apocalyptic number.

1581025264 is a gapful number since it is divisible by the number (14) 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 1581025264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2016259840).

1581025264 is an abundant number, since it is smaller than the sum of its proper divisors (2451494416).

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

1581025264 is a wasteful number, since it uses less digits than its factorization.

1581025264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 967 (or 961 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 34.

The square root of 1581025264 is about 39762.1083948022. The cubic root of 1581025264 is about 1164.9651580141.

The spelling of 1581025264 in words is "one billion, five hundred eighty-one million, twenty-five thousand, two hundred sixty-four".