35613441225 has 72 divisors (see below), whose sum is σ = 64744126200. Its totient is φ = 18710630400.

The previous prime is 35613441211. The next prime is 35613441257. The reversal of 35613441225 is 52214431653.

35613441225 is a `hidden beast` number, since 3 + 5 + 613 + 4 + 4 + 12 + 25 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 7365244041 + 28248197184 = 85821^2 + 168072^2 .

It is not a de Polignac number, because 35613441225 - 2⁶ = 35613441161 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 35613441225.

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 71 ways as a sum of consecutive naturals, for example, 5623861 + ... + 5630189.

It is an arithmetic number, because the mean of its divisors is an integer number (899223975).

Almost surely, 2^35613441225 is an apocalyptic number.

It is an amenable number.

35613441225 is a deficient number, since it is larger than the sum of its proper divisors (29130684975).

35613441225 is a wasteful number, since it uses less digits than its factorization.

35613441225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6715 (or 6707 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

Adding to 35613441225 its reverse (52214431653), we get a palindrome (87827872878).

The spelling of 35613441225 in words is "thirty-five billion, six hundred thirteen million, four hundred forty-one thousand, two hundred twenty-five".