23413590225 has 45 divisors (see below), whose sum is σ = 42355705015. Its totient is φ = 12363612000.

The previous prime is 23413590217. The next prime is 23413590259. The reversal of 23413590225 is 52209531432.

The square root of 23413590225 is 153015.

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

23413590225 is a `hidden beast` number, since 2 + 3 + 41 + 3 + 590 + 2 + 25 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 1375593921 + 22037996304 = 37089^2 + 148452^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 23413590225 - 2³ = 23413590217 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 23413590225.

It is an unprimeable number.

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 44 ways as a sum of consecutive naturals, for example, 231817675 + ... + 231817775.

Almost surely, 2^23413590225 is an apocalyptic number.

23413590225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

23413590225 is the 153015-th square number.

23413590225 is the 76508-th centered octagonal number.

It is an amenable number.

23413590225 is a deficient number, since it is larger than the sum of its proper divisors (18942114790).

23413590225 is an frugal number, since it uses more digits than its factorization.

23413590225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Multiplying 23413590225 by its sum of digits (36), we get a square (842889248100 = 918090²).

The spelling of 23413590225 in words is "twenty-three billion, four hundred thirteen million, five hundred ninety thousand, two hundred twenty-five".