1006504695 has 48 divisors (see below), whose sum is σ = 2042494272. Its totient is φ = 448888320.

The previous prime is 1006504663. The next prime is 1006504781. The reversal of 1006504695 is 5964056001.

It is not a de Polignac number, because 1006504695 - 2⁵ = 1006504663 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26052 + ... + 51881.

It is an arithmetic number, because the mean of its divisors is an integer number (42551964).

Almost surely, 2^1006504695 is an apocalyptic number.

1006504695 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1006504695 is an abundant number, since it is smaller than the sum of its proper divisors (1035989577).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1006504695 is a wasteful number, since it uses less digits than its factorization.

1006504695 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77992 (or 77989 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 1006504695 is about 31725.4581527202. The cubic root of 1006504695 is about 1002.1635473537.

The spelling of 1006504695 in words is "one billion, six million, five hundred four thousand, six hundred ninety-five".