6906410280025 has 81 divisors (see below), whose sum is σ = 8960714200893. Its totient is φ = 5280397886400.

The previous prime is 6906410280019. The next prime is 6906410280031. The reversal of 6906410280025 is 5200820146096.

The square root of 6906410280025 is 2628005.

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

It is an interprime number because it is at equal distance from previous prime (6906410280019) and next prime (6906410280031).

It can be written as a sum of positive squares in 4 ways, for example, as 52025504281 + 6854384775744 = 228091^2 + 2618088^2 .

It is not a de Polignac number, because 6906410280025 - 2¹⁹ = 6906409755737 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 32731802170 + ... + 32731802380.

Almost surely, 2^{6906410280025} is an apocalyptic number.

6906410280025 is the 2628005-th square number.

6906410280025 is the 1314003-rd centered octagonal number.

It is an amenable number.

6906410280025 is a deficient number, since it is larger than the sum of its proper divisors (2054303920868).

6906410280025 is an frugal number, since it uses more digits than its factorization.

6906410280025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 43.

It can be divided in two parts, 69064 and 10280025, that added together give a square (10349089 = 3217²).

The spelling of 6906410280025 in words is "six trillion, nine hundred six billion, four hundred ten million, two hundred eighty thousand, twenty-five".