1053057024 has 252 divisors, whose sum is σ = 3297766836. Its totient is φ = 335757312.

The previous prime is 1053057017. The next prime is 1053057107. The reversal of 1053057024 is 4207503501.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a super-2 number, since 2×1053057024² = 2217858191591473152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 45785077 + ... + 45785099.

Almost surely, 2^1053057024 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 1053057024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1648883418).

1053057024 is an abundant number, since it is smaller than the sum of its proper divisors (2244709812).

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

1053057024 is an frugal number, since it uses more digits than its factorization.

1053057024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 1053057024 is about 32450.8401123915. The cubic root of 1053057024 is about 1017.3817972870.

The spelling of 1053057024 in words is "one billion, fifty-three million, fifty-seven thousand, twenty-four".