1005153200 has 60 divisors (see below), whose sum is σ = 2541998760. Its totient is φ = 380897280.

The previous prime is 1005153197. The next prime is 1005153209. The reversal of 1005153200 is 23515001.

It is not an unprimeable number, because it can be changed into a prime (1005153209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58529 + ... + 73728.

It is an arithmetic number, because the mean of its divisors is an integer number (42366646).

Almost surely, 2^1005153200 is an apocalyptic number.

1005153200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1005153200 is an abundant number, since it is smaller than the sum of its proper divisors (1536845560).

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

1005153200 is a wasteful number, since it uses less digits than its factorization.

1005153200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132294 (or 132283 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 17.

The square root of 1005153200 is about 31704.1511477598. The cubic root of 1005153200 is about 1001.7147911439.

Adding to 1005153200 its reverse (23515001), we get a palindrome (1028668201).

The spelling of 1005153200 in words is "one billion, five million, one hundred fifty-three thousand, two hundred".