1652857353225 has 243 divisors, whose sum is σ = 3393074745333. Its totient is φ = 768665738880.

The previous prime is 1652857353211. The next prime is 1652857353229. The reversal of 1652857353225 is 5223537582561.

It is a happy number.

The square root of 1652857353225 is 1285635.

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

1652857353225 is a `hidden beast` number, since 1 + 6 + 5 + 2 + 85 + 7 + 3 + 532 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 426026427849 + 1226830925376 = 652707^2 + 1107624^2 .

It is not a de Polignac number, because 1652857353225 - 2¹⁷ = 1652857222153 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1652857353229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 4763277502 + ... + 4763277848.

Almost surely, 2^{1652857353225} is an apocalyptic number.

1652857353225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1652857353225 is the 1285635-th square number.

1652857353225 is the 642818-th centered octagonal number.

It is an amenable number.

1652857353225 is an abundant number, since it is smaller than the sum of its proper divisors (1740217392108).

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

1652857353225 is a wasteful number, since it uses less digits than its factorization.

1652857353225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774 (or 387 counting only the distinct ones).

The product of its digits is 15120000, while the sum is 54.

The spelling of 1652857353225 in words is "one trillion, six hundred fifty-two billion, eight hundred fifty-seven million, three hundred fifty-three thousand, two hundred twenty-five".