35640529860961 has 27 divisors (see below), whose sum is σ = 37841677434379. Its totient is φ = 33565553705600.

The previous prime is 35640529860941. The next prime is 35640529860967. The reversal of 35640529860961 is 16906892504653.

The square root of 35640529860961 is 5969969.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 20167006211361 + 15473523649600 = 4490769^2 + 3933640^2 .

It is not a de Polignac number, because 35640529860961 - 2³⁹ = 35090774047073 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 35640529860893 and 35640529860902.

It is not an unprimeable number, because it can be changed into a prime (35640529860967) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7098290631 + ... + 7098295651.

Almost surely, 2^{35640529860961} is an apocalyptic number.

35640529860961 is the 5969969-th square number.

35640529860961 is the 2984985-th centered octagonal number.

It is an amenable number.

35640529860961 is a deficient number, since it is larger than the sum of its proper divisors (2201147573418).

35640529860961 is an frugal number, since it uses more digits than its factorization.

35640529860961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10182 (or 5091 counting only the distinct ones).

The product of its (nonzero) digits is 83980800, while the sum is 64.

The spelling of 35640529860961 in words is "thirty-five trillion, six hundred forty billion, five hundred twenty-nine million, eight hundred sixty thousand, nine hundred sixty-one".