1073107456281 has 195 divisors, whose sum is σ = 1944810574031. Its totient is φ = 592059286224.

The previous prime is 1073107456259. The next prime is 1073107456283. The reversal of 1073107456281 is 1826547013701.

The square root of 1073107456281 is 1035909.

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

1073107456281 is a `hidden beast` number, since 1 + 0 + 7 + 3 + 1 + 0 + 7 + 4 + 562 + 81 = 666.

It can be written as a sum of positive squares in only one way, i.e., 562711519881 + 510395936400 = 750141^2 + 714420^2 .

It is not a de Polignac number, because 1073107456281 - 2⁵ = 1073107456249 is a prime.

It is a super-2 number, since 2×1073107456281² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1073107456283) 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 in 194 ways as a sum of consecutive naturals, for example, 37003705375 + ... + 37003705403.

Almost surely, 2^{1073107456281} is an apocalyptic number.

1073107456281 is the 1035909-th square number.

1073107456281 is the 517955-th centered octagonal number.

It is an amenable number.

1073107456281 is a deficient number, since it is larger than the sum of its proper divisors (871703117750).

1073107456281 is an frugal number, since it uses more digits than its factorization.

1073107456281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 1073107456281 in words is "one trillion, seventy-three billion, one hundred seven million, four hundred fifty-six thousand, two hundred eighty-one".