23331653181225 has 81 divisors (see below), whose sum is σ = 42493938747429. Its totient is φ = 12237237230400.

The previous prime is 23331653181211. The next prime is 23331653181229. The reversal of 23331653181225 is 52218135613332.

The square root of 23331653181225 is 4830285.

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

23331653181225 is a `hidden beast` number, since 2 + 3 + 3 + 3 + 16 + 531 + 81 + 2 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10746982071081 + 12584671110144 = 3278259^2 + 3547488^2 .

It is not a de Polignac number, because 23331653181225 - 2⁷ = 23331653181097 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 (23331653181229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 4419708136 + ... + 4419713414.

Almost surely, 2^{23331653181225} is an apocalyptic number.

23331653181225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

23331653181225 is the 4830285-th square number.

23331653181225 is the 2415143-rd centered octagonal number.

It is an amenable number.

23331653181225 is a deficient number, since it is larger than the sum of its proper divisors (19162285566204).

23331653181225 is an frugal number, since it uses more digits than its factorization.

23331653181225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10696 (or 5348 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

Adding to 23331653181225 its reverse (52218135613332), we get a palindrome (75549788794557).

The spelling of 23331653181225 in words is "twenty-three trillion, three hundred thirty-one billion, six hundred fifty-three million, one hundred eighty-one thousand, two hundred twenty-five".