393712326225 has 81 divisors (see below), whose sum is σ = 718350534993. Its totient is φ = 206129782080.

The previous prime is 393712326223. The next prime is 393712326229. The reversal of 393712326225 is 522623217393.

The square root of 393712326225 is 627465.

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

393712326225 is a `hidden beast` number, since 3 + 9 + 3 + 7 + 12 + 3 + 2 + 622 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 108735722001 + 284976604224 = 329751^2 + 533832^2 .

It is not a de Polignac number, because 393712326225 - 2¹ = 393712326223 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (393712326223) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 555306171 + ... + 555306879.

Almost surely, 2^393712326225 is an apocalyptic number.

393712326225 is the 627465-th square number.

393712326225 is the 313733-rd centered octagonal number.

It is an amenable number.

393712326225 is a deficient number, since it is larger than the sum of its proper divisors (324638208768).

393712326225 is an frugal number, since it uses more digits than its factorization.

393712326225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1552 (or 776 counting only the distinct ones).

The product of its digits is 816480, while the sum is 45.

The spelling of 393712326225 in words is "three hundred ninety-three billion, seven hundred twelve million, three hundred twenty-six thousand, two hundred twenty-five".