1054524416 has 88 divisors (see below), whose sum is σ = 2435373216. Its totient is φ = 451051520.

The previous prime is 1054524413. The next prime is 1054524437. The reversal of 1054524416 is 6144254501.

It is a tau number, because it is divible by the number of its divisors (88).

It is a super-3 number, since 3×1054524416³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (1054524413) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 188735 + ... + 194241.

Almost surely, 2^1054524416 is an apocalyptic number.

1054524416 is a gapful number since it is divisible by the number (16) 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 1054524416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1217686608).

1054524416 is an abundant number, since it is smaller than the sum of its proper divisors (1380848800).

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

1054524416 is a wasteful number, since it uses less digits than its factorization.

1054524416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5555 (or 5537 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

The square root of 1054524416 is about 32473.4417024128. The cubic root of 1054524416 is about 1017.8541379681.

Adding to 1054524416 its reverse (6144254501), we get a palindrome (7198778917).

The spelling of 1054524416 in words is "one billion, fifty-four million, five hundred twenty-four thousand, four hundred sixteen".