19324508281225 has 243 divisors, whose sum is σ = 29769177702303. Its totient is φ = 12407171616000.

The previous prime is 19324508281213. The next prime is 19324508281271. The reversal of 19324508281225 is 52218280542391.

It is a happy number.

The square root of 19324508281225 is 4395965.

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 19245935706361 + 78572574864 = 4387019^2 + 280308^2 .

It is not a de Polignac number, because 19324508281225 - 2⁹ = 19324508280713 is a prime.

It is a super-2 number, since 2×19324508281225² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 272176172940 + ... + 272176173010.

Almost surely, 2^{19324508281225} is an apocalyptic number.

19324508281225 is the 4395965-th square number.

19324508281225 is the 2197983-rd centered octagonal number.

It is an amenable number.

19324508281225 is a deficient number, since it is larger than the sum of its proper divisors (10444669421078).

19324508281225 is an frugal number, since it uses more digits than its factorization.

19324508281225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 52.

The spelling of 19324508281225 in words is "nineteen trillion, three hundred twenty-four billion, five hundred eight million, two hundred eighty-one thousand, two hundred twenty-five".