1053541944 has 576 divisors, whose sum is σ = 4005504000. Its totient is φ = 254741760.

The previous prime is 1053541939. The next prime is 1053541967. The reversal of 1053541944 is 4491453501.

It is a happy number.

1053541944 is a `hidden beast` number, since 105 + 3 + 541 + 9 + 4 + 4 = 666.

It is a super-2 number, since 2×1053541944² = 2219901255534598272, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1053541899 and 1053541908.

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 33985209 + ... + 33985239.

It is an arithmetic number, because the mean of its divisors is an integer number (6954000).

Almost surely, 2^1053541944 is an apocalyptic number.

1053541944 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 1053541944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2002752000).

1053541944 is an abundant number, since it is smaller than the sum of its proper divisors (2951962056).

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

1053541944 is a wasteful number, since it uses less digits than its factorization.

1053541944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 1053541944 is about 32458.3108617808. The cubic root of 1053541944 is about 1017.5379373194.

The spelling of 1053541944 in words is "one billion, fifty-three million, five hundred forty-one thousand, nine hundred forty-four".