90186825365261 has 2 divisors, whose sum is σ = 90186825365262. Its totient is φ = 90186825365260.

The previous prime is 90186825365213. The next prime is 90186825365323. The reversal of 90186825365261 is 16256352868109.

It is a happy number.

It is an a-pointer prime, because the next prime (90186825365323) can be obtained adding 90186825365261 to its sum of digits (62).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 80980759142761 + 9206066222500 = 8998931^2 + 3034150^2 .

It is a cyclic number.

It is not a de Polignac number, because 90186825365261 - 2¹⁸ = 90186825103117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 90186825365194 and 90186825365203.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (90186825365561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 45093412682630 + 45093412682631.

It is an arithmetic number, because the mean of its divisors is an integer number (45093412682631).

Almost surely, 2^{90186825365261} is an apocalyptic number.

It is an amenable number.

90186825365261 is a deficient number, since it is larger than the sum of its proper divisors (1).

90186825365261 is an equidigital number, since it uses as much as digits as its factorization.

90186825365261 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 37324800, while the sum is 62.

The spelling of 90186825365261 in words is "ninety trillion, one hundred eighty-six billion, eight hundred twenty-five million, three hundred sixty-five thousand, two hundred sixty-one".