1295566506 has 72 divisors (see below), whose sum is σ = 3057769260. Its totient is φ = 396433440.

The previous prime is 1295566501. The next prime is 1295566511. The reversal of 1295566506 is 6056655921.

1295566506 is a `hidden beast` number, since 1 + 2 + 95 + 56 + 6 + 506 = 666.

It is an interprime number because it is at equal distance from previous prime (1295566501) and next prime (1295566511).

It can be written as a sum of positive squares in 6 ways, for example, as 761263281 + 534303225 = 27591^2 + 23115^2 .

It is not an unprimeable number, because it can be changed into a prime (1295566501) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7157736 + ... + 7157916.

Almost surely, 2^1295566506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1295566506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1528884630).

1295566506 is an abundant number, since it is smaller than the sum of its proper divisors (1762202754).

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

1295566506 is an equidigital number, since it uses as much as digits as its factorization.

1295566506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 45.

The square root of 1295566506 is about 35993.9787464515. The cubic root of 1295566506 is about 1090.1507818232.

The spelling of 1295566506 in words is "one billion, two hundred ninety-five million, five hundred sixty-six thousand, five hundred six".