356561133061361 has 2 divisors, whose sum is σ = 356561133061362. Its totient is φ = 356561133061360.

The previous prime is 356561133061349. The next prime is 356561133061421. The reversal of 356561133061361 is 163160331165653.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 246001375793761 + 110559757267600 = 15684431^2 + 10514740^2 .

It is a cyclic number.

It is not a de Polignac number, because 356561133061361 - 2¹⁸ = 356561132799217 is a prime.

It is a super-2 number, since 2×356561133061361² (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (356561133061061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 178280566530680 + 178280566530681.

It is an arithmetic number, because the mean of its divisors is an integer number (178280566530681).

Almost surely, 2^{356561133061361} is an apocalyptic number.

It is an amenable number.

356561133061361 is a deficient number, since it is larger than the sum of its proper divisors (1).

356561133061361 is an equidigital number, since it uses as much as digits as its factorization.

356561133061361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2624400, while the sum is 50.

The spelling of 356561133061361 in words is "three hundred fifty-six trillion, five hundred sixty-one billion, one hundred thirty-three million, sixty-one thousand, three hundred sixty-one".