1530053040 has 320 divisors, whose sum is σ = 5245378560. Its totient is φ = 367411200.

The previous prime is 1530053039. The next prime is 1530053093. The reversal of 1530053040 is 403500351.

It is a junction number, because it is equal to n+sod(n) for n = 1530052998 and 1530053016.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15148990 + ... + 15149090.

It is an arithmetic number, because the mean of its divisors is an integer number (16391808).

Almost surely, 2^1530053040 is an apocalyptic number.

1530053040 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 1530053040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2622689280).

1530053040 is an abundant number, since it is smaller than the sum of its proper divisors (3715325520).

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

1530053040 is a wasteful number, since it uses less digits than its factorization.

1530053040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 1530053040 is about 39115.8924223902. The cubic root of 1530053040 is about 1152.3086677702.

Adding to 1530053040 its reverse (403500351), we get a palindrome (1933553391).

The spelling of 1530053040 in words is "one billion, five hundred thirty million, fifty-three thousand, forty".