1005153050 has 144 divisors (see below), whose sum is σ = 2257589880. Its totient is φ = 331161600.

The previous prime is 1005153031. The next prime is 1005153053. The reversal of 1005153050 is 503515001.

1005153050 = 170² + 171² + ... + 1445².

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 82755409 + 922397641 = 9097^2 + 30371^2 .

It is not an unprimeable number, because it can be changed into a prime (1005153053) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2982482 + ... + 2982818.

Almost surely, 2^1005153050 is an apocalyptic number.

1005153050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1005153050 is an abundant number, since it is smaller than the sum of its proper divisors (1252436830).

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

1005153050 is a wasteful number, since it uses less digits than its factorization.

1005153050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 375, while the sum is 20.

The square root of 1005153050 is about 31704.1487821389. The cubic root of 1005153050 is about 1001.7147413149.

Adding to 1005153050 its reverse (503515001), we get a palindrome (1508668051).

The spelling of 1005153050 in words is "one billion, five million, one hundred fifty-three thousand, fifty".