1054521600 has 216 divisors, whose sum is σ = 3797277792. Its totient is φ = 255590400.

The previous prime is 1054521583. The next prime is 1054521613. The reversal of 1054521600 is 61254501.

1054521600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1054521600² = 2224031609733120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 208704 + ... + 213696.

Almost surely, 2^1054521600 is an apocalyptic number.

1054521600 is a gapful number since it is divisible by the number (10) 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 1054521600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1898638896).

1054521600 is an abundant number, since it is smaller than the sum of its proper divisors (2742756192).

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

1054521600 is a wasteful number, since it uses less digits than its factorization.

1054521600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5033 (or 5014 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 1054521600 is about 32473.3983438753. The cubic root of 1054521600 is about 1017.8532319421.

The spelling of 1054521600 in words is "one billion, fifty-four million, five hundred twenty-one thousand, six hundred".