205725313000700 has 36 divisors (see below), whose sum is σ = 446632441553592. Its totient is φ = 82251689745600.

The previous prime is 205725313000693. The next prime is 205725313000717. The reversal of 205725313000700 is 7000313527502.

It is a super-3 number, since 3×205725313000700³ (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 480228014 + ... + 480656213.

It is an arithmetic number, because the mean of its divisors is an integer number (12406456709822).

Almost surely, 2^{205725313000700} is an apocalyptic number.

205725313000700 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205725313000700 is an abundant number, since it is smaller than the sum of its proper divisors (240907128552892).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

205725313000700 is a wasteful number, since it uses less digits than its factorization.

205725313000700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 960886382 (or 960886375 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 35.

The spelling of 205725313000700 in words is "two hundred five trillion, seven hundred twenty-five billion, three hundred thirteen million, seven hundred", and thus it is an aban number.