1005303135 has 16 divisors (see below), whose sum is σ = 1651958496. Its totient is φ = 521670528.

The previous prime is 1005303133. The next prime is 1005303137. The reversal of 1005303135 is 5313035001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1005303133) and next prime (1005303137).

It is not a de Polignac number, because 1005303135 - 2¹ = 1005303133 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005303133) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 905124 + ... + 906233.

It is an arithmetic number, because the mean of its divisors is an integer number (103247406).

Almost surely, 2^1005303135 is an apocalyptic number.

1005303135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1005303135 is a deficient number, since it is larger than the sum of its proper divisors (646655361).

1005303135 is a wasteful number, since it uses less digits than its factorization.

1005303135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1811402.

The product of its (nonzero) digits is 675, while the sum is 21.

The square root of 1005303135 is about 31706.5156553034. The cubic root of 1005303135 is about 1001.7645960360.

Adding to 1005303135 its reverse (5313035001), we get a palindrome (6318338136).

The spelling of 1005303135 in words is "one billion, five million, three hundred three thousand, one hundred thirty-five".