1005412500 has 216 divisors, whose sum is σ = 3304226016. Its totient is φ = 267300000.

The previous prime is 1005412489. The next prime is 1005412523. The reversal of 1005412500 is 52145001.

1005412500 is a `hidden beast` number, since 100 + 54 + 12 + 500 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3037335 + ... + 3037665.

Almost surely, 2^1005412500 is an apocalyptic number.

1005412500 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 1005412500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1652113008).

1005412500 is an abundant number, since it is smaller than the sum of its proper divisors (2298813516).

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

1005412500 is an frugal number, since it uses more digits than its factorization.

1005412500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 1005412500 is about 31708.2402539151. The cubic root of 1005412500 is about 1001.8009214018.

Adding to 1005412500 its reverse (52145001), we get a palindrome (1057557501).

It can be divided in two parts, 100541 and 2500, that added together give a square (103041 = 321²).

The spelling of 1005412500 in words is "one billion, five million, four hundred twelve thousand, five hundred".