393549202225 has 27 divisors (see below), whose sum is σ = 501694641441. Its totient is φ = 306239853600.

The previous prime is 393549202169. The next prime is 393549202237. The reversal of 393549202225 is 522202945393.

It is a happy number.

The square root of 393549202225 is 627335.

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

It can be written as a sum of positive squares in 4 ways, for example, as 37359864369 + 356189337856 = 193287^2 + 596816^2 .

It is not a de Polignac number, because 393549202225 - 2¹⁹ = 393548677937 is a prime.

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, 116055280 + ... + 116058670.

Almost surely, 2^393549202225 is an apocalyptic number.

393549202225 is the 627335-th square number.

393549202225 is the 313668-th centered octagonal number.

It is an amenable number.

393549202225 is a deficient number, since it is larger than the sum of its proper divisors (108145439216).

393549202225 is an frugal number, since it uses more digits than its factorization.

393549202225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6866 (or 3433 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 46.

The spelling of 393549202225 in words is "three hundred ninety-three billion, five hundred forty-nine million, two hundred two thousand, two hundred twenty-five".