6561416025 has 36 divisors (see below), whose sum is σ = 12157486380. Its totient is φ = 3378748800.

The previous prime is 6561416023. The next prime is 6561416039. The reversal of 6561416025 is 5206141656.

6561416025 is a `hidden beast` number, since 6 + 5 + 6 + 1 + 41 + 602 + 5 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 78428736 + 6482987289 = 8856^2 + 80517^2 .

It is not a de Polignac number, because 6561416025 - 2¹ = 6561416023 is a prime.

It is not an unprimeable number, because it can be changed into a prime (6561416023) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 496266 + ... + 509315.

It is an arithmetic number, because the mean of its divisors is an integer number (337707955).

Almost surely, 2^6561416025 is an apocalyptic number.

It is an amenable number.

6561416025 is a deficient number, since it is larger than the sum of its proper divisors (5596070355).

6561416025 is a wasteful number, since it uses less digits than its factorization.

6561416025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1005626 (or 1005618 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 6561416025 is about 81002.5680148475. The cubic root of 6561416025 is about 1872.1150085831.

It can be divided in two parts, 6561 and 416025, that multiplied together give a square (2729540025 = 52245²).

The spelling of 6561416025 in words is "six billion, five hundred sixty-one million, four hundred sixteen thousand, twenty-five".