5735403624961 has 8 divisors (see below), whose sum is σ = 5755200013224. Its totient is φ = 5715627287040.

The previous prime is 5735403624949. The next prime is 5735403625001. The reversal of 5735403624961 is 1694263045375.

It can be written as a sum of positive squares in 4 ways, for example, as 260533680625 + 5474869944336 = 510425^2 + 2339844^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 5735403624961 - 2²⁹ = 5734866754049 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5735403624361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4439386 + ... + 5583811.

It is an arithmetic number, because the mean of its divisors is an integer number (719400001653).

Almost surely, 2^{5735403624961} is an apocalyptic number.

It is an amenable number.

5735403624961 is a deficient number, since it is larger than the sum of its proper divisors (19796388263).

5735403624961 is a wasteful number, since it uses less digits than its factorization.

5735403624961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10025171.

The product of its (nonzero) digits is 16329600, while the sum is 55.

The spelling of 5735403624961 in words is "five trillion, seven hundred thirty-five billion, four hundred three million, six hundred twenty-four thousand, nine hundred sixty-one".