1919125355625 has 225 divisors, whose sum is σ = 3688402474801. Its totient is φ = 994109220000.

The previous prime is 1919125355611. The next prime is 1919125355639. The reversal of 1919125355625 is 5265535219191.

The square root of 1919125355625 is 1385325.

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

1919125355625 is a `hidden beast` number, since 1 + 9 + 1 + 9 + 1 + 2 + 5 + 3 + 5 + 5 + 625 = 666.

It is an interprime number because it is at equal distance from previous prime (1919125355611) and next prime (1919125355639).

It can be written as a sum of positive squares in 2 ways, for example, as 150459427881 + 1768665927744 = 387891^2 + 1329912^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is not a de Polignac number, because 1919125355625 - 2⁵ = 1919125355593 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 14649811810 + ... + 14649811940.

Almost surely, 2^{1919125355625} is an apocalyptic number.

1919125355625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1919125355625 is the 1385325-th square number.

1919125355625 is the 692663-rd centered octagonal number.

It is an amenable number.

1919125355625 is a deficient number, since it is larger than the sum of its proper divisors (1769277119176).

1919125355625 is an frugal number, since it uses more digits than its factorization.

1919125355625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 186 counting only the distinct ones).

The product of its digits is 3645000, while the sum is 54.

The spelling of 1919125355625 in words is "one trillion, nine hundred nineteen billion, one hundred twenty-five million, three hundred fifty-five thousand, six hundred twenty-five".