21020895371025 has 243 divisors, whose sum is σ = 42590165838129. Its totient is φ = 9903286800000.

The previous prime is 21020895371011. The next prime is 21020895371051. The reversal of 21020895371025 is 52017359802012.

The square root of 21020895371025 is 4584855.

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

21020895371025 is a `hidden beast` number, since 2 + 1 + 0 + 2 + 0 + 8 + 9 + 537 + 102 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1995526342161 + 19025369028864 = 1412631^2 + 4361808^2 .

It is not a de Polignac number, because 21020895371025 - 2¹⁹ = 21020894846737 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 242 ways as a sum of consecutive naturals, for example, 27990539400 + ... + 27990540150.

Almost surely, 2^{21020895371025} is an apocalyptic number.

21020895371025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

21020895371025 is the 4584855-th square number.

21020895371025 is the 2292428-th centered octagonal number.

It is an amenable number.

21020895371025 is an abundant number, since it is smaller than the sum of its proper divisors (21569270467104).

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

21020895371025 is an equidigital number, since it uses as much as digits as its factorization.

21020895371025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1614 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 21020895371025 in words is "twenty-one trillion, twenty billion, eight hundred ninety-five million, three hundred seventy-one thousand, twenty-five".