1005211530 has 192 divisors, whose sum is σ = 2945030400. Its totient is φ = 236390400.

The previous prime is 1005211517. The next prime is 1005211541. The reversal of 1005211530 is 351125001.

1005211530 is a `hidden beast` number, since 100 + 521 + 15 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4389456 + ... + 4389684.

It is an arithmetic number, because the mean of its divisors is an integer number (15338700).

Almost surely, 2^1005211530 is an apocalyptic number.

1005211530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1005211530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1472515200).

1005211530 is an abundant number, since it is smaller than the sum of its proper divisors (1939818870).

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

1005211530 is a wasteful number, since it uses less digits than its factorization.

1005211530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 1005211530 is about 31705.0710454968. The cubic root of 1005211530 is about 1001.7341675910.

Adding to 1005211530 its reverse (351125001), we get a palindrome (1356336531).

The spelling of 1005211530 in words is "one billion, five million, two hundred eleven thousand, five hundred thirty".