1619854380225 has 45 divisors (see below), whose sum is σ = 3000636355123. Its totient is φ = 863891790480.

The previous prime is 1619854380203. The next prime is 1619854380247. The reversal of 1619854380225 is 5220834589161.

The square root of 1619854380225 is 1272735.

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

1619854380225 is a `hidden beast` number, since 1 + 6 + 1 + 98 + 543 + 8 + 0 + 2 + 2 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (1619854380203) and next prime (1619854380247).

It can be written as a sum of positive squares in only one way, i.e., 583147576881 + 1036706803344 = 763641^2 + 1018188^2 .

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

It is not a de Polignac number, because 1619854380225 - 2³¹ = 1617706896577 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 57258934 + ... + 57287216.

Almost surely, 2^{1619854380225} is an apocalyptic number.

1619854380225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1619854380225 is the 1272735-th square number.

1619854380225 is the 636368-th centered octagonal number.

It is an amenable number.

1619854380225 is a deficient number, since it is larger than the sum of its proper divisors (1380781974898).

1619854380225 is an frugal number, since it uses more digits than its factorization.

1619854380225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56588 (or 28291 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 1619854380225 in words is "one trillion, six hundred nineteen billion, eight hundred fifty-four million, three hundred eighty thousand, two hundred twenty-five".