2053617972025 has 9 divisors (see below), whose sum is σ = 2546495170221. Its totient is φ = 1642888645440.

The previous prime is 2053617972017. The next prime is 2053617972053. The reversal of 2053617972025 is 5202797163502.

The square root of 2053617972025 is 1433045.

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 1245985040169 + 807632931856 = 1116237^2 + 898684^2 .

It is not a de Polignac number, because 2053617972025 - 2³ = 2053617972017 is a prime.

It is a super-3 number, since 3×2053617972025³ (a number of 38 digits) contains 333 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 2053617972025.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7021921 + ... + 7308529.

Almost surely, 2^{2053617972025} is an apocalyptic number.

2053617972025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2053617972025 is the 1433045-th square number.

2053617972025 is the 716523-rd centered octagonal number.

It is an amenable number.

2053617972025 is a deficient number, since it is larger than the sum of its proper divisors (492877198196).

2053617972025 is an frugal number, since it uses more digits than its factorization.

2053617972025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573228 (or 286614 counting only the distinct ones).

The product of its (nonzero) digits is 1587600, while the sum is 49.

Multiplying 2053617972025 by its sum of digits (49), we get a square (100627280629225 = 10031315²).

The spelling of 2053617972025 in words is "two trillion, fifty-three billion, six hundred seventeen million, nine hundred seventy-two thousand, twenty-five".