1007303505 has 16 divisors (see below), whose sum is σ = 1735661760. Its totient is φ = 495903168.

The previous prime is 1007303497. The next prime is 1007303537. The reversal of 1007303505 is 5053037001.

It is not a de Polignac number, because 1007303505 - 2³ = 1007303497 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2582635 + ... + 2583024.

It is an arithmetic number, because the mean of its divisors is an integer number (108478860).

Almost surely, 2^1007303505 is an apocalyptic number.

1007303505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1007303505 is a deficient number, since it is larger than the sum of its proper divisors (728358255).

1007303505 is a wasteful number, since it uses less digits than its factorization.

1007303505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5165680.

The product of its (nonzero) digits is 1575, while the sum is 24.

The square root of 1007303505 is about 31738.0450721213. The cubic root of 1007303505 is about 1002.4285987998.

The spelling of 1007303505 in words is "one billion, seven million, three hundred three thousand, five hundred five".