10261566437 has 2 divisors, whose sum is σ = 10261566438. Its totient is φ = 10261566436.

The previous prime is 10261566409. The next prime is 10261566443. The reversal of 10261566437 is 73466516201.

10261566437 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5521381636 + 4740184801 = 74306^2 + 68849^2 .

It is a cyclic number.

It is not a de Polignac number, because 10261566437 - 2¹² = 10261562341 is a prime.

It is a super-3 number, since 3×10261566437³ (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10261566394 and 10261566403.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10261566457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5130783218 + 5130783219.

It is an arithmetic number, because the mean of its divisors is an integer number (5130783219).

Almost surely, 2^10261566437 is an apocalyptic number.

It is an amenable number.

10261566437 is a deficient number, since it is larger than the sum of its proper divisors (1).

10261566437 is an equidigital number, since it uses as much as digits as its factorization.

10261566437 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 181440, while the sum is 41.

The spelling of 10261566437 in words is "ten billion, two hundred sixty-one million, five hundred sixty-six thousand, four hundred thirty-seven".