23597568225 has 405 divisors, whose sum is σ = 57199834419. Its totient is φ = 9290635200.

The previous prime is 23597568223. The next prime is 23597568259. The reversal of 23597568225 is 52286579532.

It is a happy number.

The square root of 23597568225 is 153615.

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

23597568225 is a `hidden beast` number, since 2 + 3 + 59 + 7 + 568 + 2 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8495124561 + 15102443664 = 92169^2 + 122892^2 .

It is not a de Polignac number, because 23597568225 - 2¹ = 23597568223 is a prime.

It is a super-2 number, since 2×23597568225² (a number of 22 digits) contains 22 as substring.

Its product of digits (9072000) is a multiple of the sum of its prime divisors (45).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (23597568223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 1241977266 + ... + 1241977284.

Almost surely, 2^23597568225 is an apocalyptic number.

23597568225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

23597568225 is the 153615-th square number.

23597568225 is the 76808-th centered octagonal number.

It is an amenable number.

23597568225 is an abundant number, since it is smaller than the sum of its proper divisors (33602266194).

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

23597568225 is a wasteful number, since it uses less digits than its factorization.

23597568225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 45 counting only the distinct ones).

The product of its digits is 9072000, while the sum is 54.

The spelling of 23597568225 in words is "twenty-three billion, five hundred ninety-seven million, five hundred sixty-eight thousand, two hundred twenty-five".