1005145351 has 16 divisors (see below), whose sum is σ = 1158865984. Its totient is φ = 853991424.

The previous prime is 1005145327. The next prime is 1005145369. The reversal of 1005145351 is 1535415001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1005145351 - 2⁷ = 1005145223 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005145321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 421675 + ... + 424051.

It is an arithmetic number, because the mean of its divisors is an integer number (72429124).

Almost surely, 2^1005145351 is an apocalyptic number.

1005145351 is a deficient number, since it is larger than the sum of its proper divisors (153720633).

1005145351 is a wasteful number, since it uses less digits than its factorization.

1005145351 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2890.

The product of its (nonzero) digits is 1500, while the sum is 25.

The square root of 1005145351 is about 31704.0273624661. The cubic root of 1005145351 is about 1001.7121837537.

The spelling of 1005145351 in words is "one billion, five million, one hundred forty-five thousand, three hundred fifty-one".