5209451136 has 96 divisors (see below), whose sum is σ = 15005745300. Its totient is φ = 1734746112.

The previous prime is 5209451131. The next prime is 5209451153. The reversal of 5209451136 is 6311549025.

5209451136 is a `hidden beast` number, since 5 + 20 + 94 + 511 + 36 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5201294400 + 8156736 = 72120^2 + 2856^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×5209451136² = 54276762276743380992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 5209451136.

It is not an unprimeable number, because it can be changed into a prime (5209451131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1713810 + ... + 1716846.

Almost surely, 2^5209451136 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 5209451136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7502872650).

5209451136 is an abundant number, since it is smaller than the sum of its proper divisors (9796294164).

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

5209451136 is a wasteful number, since it uses less digits than its factorization.

5209451136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4546 (or 4531 counting only the distinct ones).

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

The square root of 5209451136 is about 72176.5275972736. The cubic root of 5209451136 is about 1733.5271835793.

The spelling of 5209451136 in words is "five billion, two hundred nine million, four hundred fifty-one thousand, one hundred thirty-six".