1658003893225 has 81 divisors (see below), whose sum is σ = 2164465473807. Its totient is φ = 1259863288320.

The previous prime is 1658003893223. The next prime is 1658003893229. The reversal of 1658003893225 is 5223983008561.

The square root of 1658003893225 is 1287635.

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

It can be written as a sum of positive squares in 13 ways, for example, as 1579015914921 + 78987978304 = 1256589^2 + 281048^2 .

It is not a de Polignac number, because 1658003893225 - 2¹ = 1658003893223 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1658003893223) 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, 14672600769 + ... + 14672600881.

Almost surely, 2^{1658003893225} is an apocalyptic number.

1658003893225 is the 1287635-th square number.

1658003893225 is the 643818-th centered octagonal number.

It is an amenable number.

1658003893225 is a deficient number, since it is larger than the sum of its proper divisors (506461580582).

1658003893225 is an frugal number, since it uses more digits than its factorization.

1658003893225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 52.

The spelling of 1658003893225 in words is "one trillion, six hundred fifty-eight billion, three million, eight hundred ninety-three thousand, two hundred twenty-five".