10290276481 has 15 divisors (see below), whose sum is σ = 10900746323. Its totient is φ = 9713990160.

The previous prime is 10290276467. The next prime is 10290276527. The reversal of 10290276481 is 18467209201.

The square root of 10290276481 is 101441.

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

It can be written as a sum of positive squares in only one way, i.e., 6954058881 + 3336217600 = 83391^2 + 57760^2 .

It is not a de Polignac number, because 10290276481 - 2²¹ = 10288179329 is a prime.

It is a super-2 number, since 2×10290276481² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10290276421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 36620061 + ... + 36620341.

Almost surely, 2^10290276481 is an apocalyptic number.

10290276481 is the 101441-st square number.

10290276481 is the 50721-st centered octagonal number.

It is an amenable number.

10290276481 is a deficient number, since it is larger than the sum of its proper divisors (610469842).

10290276481 is an frugal number, since it uses more digits than its factorization.

10290276481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 40.

The spelling of 10290276481 in words is "ten billion, two hundred ninety million, two hundred seventy-six thousand, four hundred eighty-one".