35596508970961 has 3 divisors (see below), whose sum is σ = 35596514937243. Its totient is φ = 35596503004680.

The previous prime is 35596508970937. The next prime is 35596508971003. The reversal of 35596508970961 is 16907980569553.

The square root of 35596508970961 is 5966281.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 1892910940561 + 33703598030400 = 1375831^2 + 5805480^2 .

It is a de Polignac number, because none of the positive numbers 2^k-35596508970961 is a prime.

It is a super-2 number, since 2×35596508970961² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (35596508170961) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 2983141 + ... + 8949421.

It is an arithmetic number, because the mean of its divisors is an integer number (11865504979081).

Almost surely, 2^{35596508970961} is an apocalyptic number.

35596508970961 is the 5966281-st square number.

35596508970961 is the 2983141-st centered octagonal number.

It is an amenable number.

35596508970961 is a deficient number, since it is larger than the sum of its proper divisors (5966282).

35596508970961 is an frugal number, since it uses more digits than its factorization.

35596508970961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11932562 (or 5966281 counting only the distinct ones).

The product of its (nonzero) digits is 551124000, while the sum is 73.

The spelling of 35596508970961 in words is "thirty-five trillion, five hundred ninety-six billion, five hundred eight million, nine hundred seventy thousand, nine hundred sixty-one".