1019968704225 has 63 divisors (see below), whose sum is σ = 1896527839369. Its totient is φ = 543910593600.

The previous prime is 1019968704151. The next prime is 1019968704253. The reversal of 1019968704225 is 5224078699101.

It is a happy number.

The square root of 1019968704225 is 1009935.

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

1019968704225 is a `hidden beast` number, since 1 + 0 + 1 + 99 + 68 + 70 + 422 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 73294191441 + 946674512784 = 270729^2 + 972972^2 .

It is not a de Polignac number, because 1019968704225 - 2²¹ = 1019966607073 is a prime.

It is a super-3 number, since 3×1019968704225³ (a number of 37 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 136337485 + ... + 136344965.

Almost surely, 2^{1019968704225} is an apocalyptic number.

1019968704225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1019968704225 is the 1009935-th square number.

1019968704225 is the 504968-th centered octagonal number.

It is an amenable number.

1019968704225 is a deficient number, since it is larger than the sum of its proper divisors (876559135144).

1019968704225 is an frugal number, since it uses more digits than its factorization.

1019968704225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14990 (or 7489 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 1019968704225 in words is "one trillion, nineteen billion, nine hundred sixty-eight million, seven hundred four thousand, two hundred twenty-five".