7903357086681 has 81 divisors (see below), whose sum is σ = 13514642818911. Its totient is φ = 4437701559648.

The previous prime is 7903357086671. The next prime is 7903357086733. The reversal of 7903357086681 is 1866807533097.

The square root of 7903357086681 is 2811291.

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., 337666750281 + 7565690336400 = 581091^2 + 2750580^2 .

It is not a de Polignac number, because 7903357086681 - 2⁹ = 7903357086169 is a prime.

It is a super-2 number, since 2×7903357086681² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (7903357086671) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3483188415 + ... + 3483190683.

Almost surely, 2^{7903357086681} is an apocalyptic number.

7903357086681 is the 2811291-st square number.

7903357086681 is the 1405646-th centered octagonal number.

It is an amenable number.

7903357086681 is a deficient number, since it is larger than the sum of its proper divisors (5611285732230).

7903357086681 is an frugal number, since it uses more digits than its factorization.

7903357086681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4676 (or 2338 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 7903357086681 in words is "seven trillion, nine hundred three billion, three hundred fifty-seven million, eighty-six thousand, six hundred eighty-one".