1019241680625 has 225 divisors, whose sum is σ = 2216692096311. Its totient is φ = 465212160000.

The previous prime is 1019241680603. The next prime is 1019241680747. The reversal of 1019241680625 is 5260861429101.

The square root of 1019241680625 is 1009575.

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

1019241680625 is a `hidden beast` number, since 1 + 0 + 1 + 9 + 2 + 4 + 16 + 8 + 0 + 625 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 326005598961 + 693236081664 = 570969^2 + 832608^2 .

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

It is not a de Polignac number, because 1019241680625 - 2⁵ = 1019241680593 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1590080305 + ... + 1590080945.

Almost surely, 2^{1019241680625} is an apocalyptic number.

1019241680625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1019241680625 is the 1009575-th square number.

1019241680625 is the 504788-th centered octagonal number.

It is an amenable number.

1019241680625 is an abundant number, since it is smaller than the sum of its proper divisors (1197450415686).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1019241680625 is an frugal number, since it uses more digits than its factorization.

1019241680625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1328 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 1019241680625 in words is "one trillion, nineteen billion, two hundred forty-one million, six hundred eighty thousand, six hundred twenty-five".