6789907005025 has 27 divisors (see below), whose sum is σ = 8582213009419. Its totient is φ = 5328894446720.

The previous prime is 6789907004971. The next prime is 6789907005031. The reversal of 6789907005025 is 5205007099876.

The square root of 6789907005025 is 2605745.

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

It can be written as a sum of positive squares in 13 ways, for example, as 2670371052129 + 4119535952896 = 1634127^2 + 2029664^2 .

It is not a de Polignac number, because 6789907005025 - 2¹³ = 6789906996833 is a prime.

It is a super-2 number, since 2×6789907005025² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 690517509 + ... + 690527341.

Almost surely, 2^{6789907005025} is an apocalyptic number.

6789907005025 is the 2605745-th square number.

6789907005025 is the 1302873-rd centered octagonal number.

It is an amenable number.

6789907005025 is a deficient number, since it is larger than the sum of its proper divisors (1792306004394).

6789907005025 is an frugal number, since it uses more digits than its factorization.

6789907005025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19782 (or 9891 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 58.

The spelling of 6789907005025 in words is "six trillion, seven hundred eighty-nine billion, nine hundred seven million, five thousand, twenty-five".