1041825564 has 96 divisors (see below), whose sum is σ = 2945033280. Its totient is φ = 320526720.

The previous prime is 1041825563. The next prime is 1041825571. The reversal of 1041825564 is 4655281401.

It is a happy number.

1041825564 is a `hidden beast` number, since 10 + 4 + 1 + 82 + 5 + 564 = 666.

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1041825563) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109144 + ... + 118304.

It is an arithmetic number, because the mean of its divisors is an integer number (30677430).

Almost surely, 2^1041825564 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 1041825564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1472516640).

1041825564 is an abundant number, since it is smaller than the sum of its proper divisors (1903207716).

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

1041825564 is an equidigital number, since it uses as much as digits as its factorization.

1041825564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9199 (or 9179 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 1041825564 is about 32277.3227514303. The cubic root of 1041825564 is about 1013.7518737444.

It can be divided in two parts, 104182 and 5564, that added together give a triangular number (109746 = T₄₆₈).

The spelling of 1041825564 in words is "one billion, forty-one million, eight hundred twenty-five thousand, five hundred sixty-four".