18521625601361 has 2 divisors, whose sum is σ = 18521625601362. Its totient is φ = 18521625601360.

The previous prime is 18521625601337. The next prime is 18521625601439. The reversal of 18521625601361 is 16310652612581.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 18378197520400 + 143428080961 = 4286980^2 + 378719^2 .

It is a cyclic number.

It is not a de Polignac number, because 18521625601361 - 2¹⁰ = 18521625600337 is a prime.

It is a super-2 number, since 2×18521625601361² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (18521625601331) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 9260812800680 + 9260812800681.

It is an arithmetic number, because the mean of its divisors is an integer number (9260812800681).

Almost surely, 2^{18521625601361} is an apocalyptic number.

It is an amenable number.

18521625601361 is a deficient number, since it is larger than the sum of its proper divisors (1).

18521625601361 is an equidigital number, since it uses as much as digits as its factorization.

18521625601361 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 518400, while the sum is 47.

The spelling of 18521625601361 in words is "eighteen trillion, five hundred twenty-one billion, six hundred twenty-five million, six hundred one thousand, three hundred sixty-one".