3125961306 has 96 divisors (see below), whose sum is σ = 7467117840. Its totient is φ = 939174912.

The previous prime is 3125961269. The next prime is 3125961331. The reversal of 3125961306 is 6031695213.

3125961306 is a `hidden beast` number, since 31 + 2 + 5 + 9 + 613 + 0 + 6 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 83887281 + 3042074025 = 9159^2 + 55155^2 .

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, 3335670 + ... + 3336606.

Almost surely, 2^3125961306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3125961306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3733558920).

3125961306 is an abundant number, since it is smaller than the sum of its proper divisors (4341156534).

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

3125961306 is a wasteful number, since it uses less digits than its factorization.

3125961306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1280 (or 1277 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 3125961306 is about 55910.2969586104. The cubic root of 3125961306 is about 1462.1587671128.

The spelling of 3125961306 in words is "three billion, one hundred twenty-five million, nine hundred sixty-one thousand, three hundred six".