1007475505 has 16 divisors (see below), whose sum is σ = 1292771664. Its totient is φ = 751052800.

The previous prime is 1007475487. The next prime is 1007475523. The reversal of 1007475505 is 5055747001.

It is a happy number.

1007475505 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1007475487) and next prime (1007475523).

It can be written as a sum of positive squares in 8 ways, for example, as 89567296 + 917908209 = 9464^2 + 30297^2 .

It is not a de Polignac number, because 1007475505 - 2¹³ = 1007467313 is a prime.

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, 50092 + ... + 67261.

It is an arithmetic number, because the mean of its divisors is an integer number (80798229).

Almost surely, 2^1007475505 is an apocalyptic number.

It is an amenable number.

1007475505 is a deficient number, since it is larger than the sum of its proper divisors (285296159).

1007475505 is a wasteful number, since it uses less digits than its factorization.

1007475505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117476.

The product of its (nonzero) digits is 24500, while the sum is 34.

The square root of 1007475505 is about 31740.7546381620. The cubic root of 1007475505 is about 1002.4856514179.

The spelling of 1007475505 in words is "one billion, seven million, four hundred seventy-five thousand, five hundred five".