2088328461025 has 9 divisors (see below), whose sum is σ = 2589536251353. Its totient is φ = 1670656988400.

The previous prime is 2088328460909. The next prime is 2088328461119. The reversal of 2088328461025 is 5201648238802.

It is a happy number.

The square root of 2088328461025 is 1445105.

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

It can be written as a sum of positive squares in 4 ways, for example, as 273553058529 + 1814775402496 = 523023^2 + 1347136^2 .

It is a de Polignac number, because none of the positive numbers 2^k-2088328461025 is a prime.

It is a super-2 number, since 2×2088328461025² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2088328461025.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7081015 + ... + 7370035.

Almost surely, 2^{2088328461025} is an apocalyptic number.

2088328461025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2088328461025 is the 1445105-th square number.

2088328461025 is the 722553-rd centered octagonal number.

It is an amenable number.

2088328461025 is a deficient number, since it is larger than the sum of its proper divisors (501207790328).

2088328461025 is an frugal number, since it uses more digits than its factorization.

2088328461025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578052 (or 289026 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 49.

Multiplying 2088328461025 by its sum of digits (49), we get a square (102328094590225 = 10115735²).

The spelling of 2088328461025 in words is "two trillion, eighty-eight billion, three hundred twenty-eight million, four hundred sixty-one thousand, twenty-five".