2705658017825 has 12 divisors (see below), whose sum is σ = 3834303934080. Its totient is φ = 1855308354960.

The previous prime is 2705658017771. The next prime is 2705658017827. The reversal of 2705658017825 is 5287108565072.

It is not a de Polignac number, because 2705658017825 - 2⁶ = 2705658017761 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2705658017827) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7730451305 + ... + 7730451654.

It is an arithmetic number, because the mean of its divisors is an integer number (319525327840).

Almost surely, 2^{2705658017825} is an apocalyptic number.

2705658017825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2705658017825 is a deficient number, since it is larger than the sum of its proper divisors (1128645916255).

2705658017825 is a wasteful number, since it uses less digits than its factorization.

2705658017825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15460902976 (or 15460902971 counting only the distinct ones).

The product of its (nonzero) digits is 9408000, while the sum is 56.

The spelling of 2705658017825 in words is "two trillion, seven hundred five billion, six hundred fifty-eight million, seventeen thousand, eight hundred twenty-five".