1820758916025 has 243 divisors, whose sum is σ = 3869179167789. Its totient is φ = 816089904000.

The previous prime is 1820758916023. The next prime is 1820758916063. The reversal of 1820758916025 is 5206198570281.

The square root of 1820758916025 is 1349355.

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

1820758916025 is a `hidden beast` number, since 1 + 8 + 20 + 7 + 5 + 8 + 9 + 1 + 602 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 977197492089 + 843561423936 = 988533^2 + 918456^2 .

It is not a de Polignac number, because 1820758916025 - 2¹ = 1820758916023 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1820758916023) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 10059441435 + ... + 10059441615.

Almost surely, 2^{1820758916025} is an apocalyptic number.

1820758916025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1820758916025 is the 1349355-th square number.

1820758916025 is the 674678-th centered octagonal number.

It is an amenable number.

1820758916025 is an abundant number, since it is smaller than the sum of its proper divisors (2048420251764).

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

1820758916025 is an equidigital number, since it uses as much as digits as its factorization.

1820758916025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 54.

The spelling of 1820758916025 in words is "one trillion, eight hundred twenty billion, seven hundred fifty-eight million, nine hundred sixteen thousand, twenty-five".