6553625600025 has 495 divisors, whose sum is σ = 14558839934559. Its totient is φ = 2926270035360.

The previous prime is 6553625599949. The next prime is 6553625600099. The reversal of 6553625600025 is 5200065263556.

The square root of 6553625600025 is 2560005.

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

6553625600025 is a `hidden beast` number, since 6 + 5 + 5 + 3 + 62 + 560 + 0 + 0 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2359305216009 + 4194320384016 = 1536003^2 + 2048004^2 .

It is not a de Polignac number, because 6553625600025 - 2¹³ = 6553625591833 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 494 ways as a sum of consecutive naturals, for example, 152409897654 + ... + 152409897696.

Almost surely, 2^{6553625600025} is an apocalyptic number.

6553625600025 is the 2560005-th square number.

6553625600025 is the 1280003-rd centered octagonal number.

It is an amenable number.

6553625600025 is an abundant number, since it is smaller than the sum of its proper divisors (8005214334534).

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

6553625600025 is an frugal number, since it uses more digits than its factorization.

6553625600025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 1620000, while the sum is 45.

The spelling of 6553625600025 in words is "six trillion, five hundred fifty-three billion, six hundred twenty-five million, six hundred thousand, twenty-five".