3133075264 has 126 divisors (see below), whose sum is σ = 7078105986. Its totient is φ = 1374912000.

The previous prime is 3133075259. The next prime is 3133075273. The reversal of 3133075264 is 4625703313.

It can be written as a sum of positive squares in only one way, i.e., 1674446400 + 1458628864 = 40920^2 + 38192^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7441774 + ... + 7442194.

Almost surely, 2^3133075264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3133075264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3539052993).

3133075264 is an abundant number, since it is smaller than the sum of its proper divisors (3945030722).

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

3133075264 is a wasteful number, since it uses less digits than its factorization.

3133075264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 34.

The square root of 3133075264 is about 55973.8801942477. The cubic root of 3133075264 is about 1463.2671040756.

Adding to 3133075264 its reverse (4625703313), we get a palindrome (7758778577).

The spelling of 3133075264 in words is "three billion, one hundred thirty-three million, seventy-five thousand, two hundred sixty-four".