52869549611025 has 405 divisors, whose sum is σ = 116975810719713. Its totient is φ = 23537568902400.

The previous prime is 52869549611023. The next prime is 52869549611033. The reversal of 52869549611025 is 52011694596825.

The square root of 52869549611025 is 7271145.

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

52869549611025 is a `hidden beast` number, since 5 + 2 + 8 + 6 + 9 + 5 + 4 + 9 + 611 + 0 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 22253645760129 + 30615903850896 = 4717377^2 + 5533164^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is not a de Polignac number, because 52869549611025 - 2¹ = 52869549611023 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (52869549611023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 93906837394 + ... + 93906837956.

Almost surely, 2^{52869549611025} is an apocalyptic number.

52869549611025 is the 7271145-th square number.

52869549611025 is the 3635573-rd centered octagonal number.

It is an amenable number.

52869549611025 is an abundant number, since it is smaller than the sum of its proper divisors (64106261108688).

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

52869549611025 is an frugal number, since it uses more digits than its factorization.

52869549611025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1244 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 46656000, while the sum is 63.

The spelling of 52869549611025 in words is "fifty-two trillion, eight hundred sixty-nine billion, five hundred forty-nine million, six hundred eleven thousand, twenty-five".