19053355950225 has 81 divisors (see below), whose sum is σ = 34259594264883. Its totient is φ = 10122365024640.

The previous prime is 19053355950197. The next prime is 19053355950241. The reversal of 19053355950225 is 52205955335091.

The square root of 19053355950225 is 4365015.

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

19053355950225 is a `hidden beast` number, since 1 + 9 + 0 + 5 + 33 + 559 + 50 + 2 + 2 + 5 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 255824535681 + 18797531414544 = 505791^2 + 4335612^2 .

It is not a de Polignac number, because 19053355950225 - 2¹⁵ = 19053355917457 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 25993663959 + ... + 25993664691.

Almost surely, 2^{19053355950225} is an apocalyptic number.

19053355950225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

19053355950225 is the 4365015-th square number.

19053355950225 is the 2182508-th centered octagonal number.

It is an amenable number.

19053355950225 is a deficient number, since it is larger than the sum of its proper divisors (15206238314658).

19053355950225 is an frugal number, since it uses more digits than its factorization.

19053355950225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2276 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 9112500, while the sum is 54.

The spelling of 19053355950225 in words is "nineteen trillion, fifty-three billion, three hundred fifty-five million, nine hundred fifty thousand, two hundred twenty-five".