1505113305 has 32 divisors (see below), whose sum is σ = 2506014720. Its totient is φ = 770750400.

The previous prime is 1505113279. The next prime is 1505113327. The reversal of 1505113305 is 5033115051.

It is not a de Polignac number, because 1505113305 - 2⁵ = 1505113273 is a prime.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 18280 + ... + 57830.

It is an arithmetic number, because the mean of its divisors is an integer number (78312960).

Almost surely, 2^1505113305 is an apocalyptic number.

1505113305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1505113305 is a deficient number, since it is larger than the sum of its proper divisors (1000901415).

1505113305 is a wasteful number, since it uses less digits than its factorization.

1505113305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39661.

The product of its (nonzero) digits is 1125, while the sum is 24.

The square root of 1505113305 is about 38795.7897844599. The cubic root of 1505113305 is about 1146.0134946892.

Adding to 1505113305 its reverse (5033115051), we get a palindrome (6538228356).

The spelling of 1505113305 in words is "one billion, five hundred five million, one hundred thirteen thousand, three hundred five".