2506434561 has 6 divisors (see below), whose sum is σ = 3620405490. Its totient is φ = 1670956368.

The previous prime is 2506434521. The next prime is 2506434569. The reversal of 2506434561 is 1654346052.

2506434561 is a `hidden beast` number, since 2 + 5 + 0 + 64 + 34 + 561 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1427706225 + 1078728336 = 37785^2 + 32844^2 .

It is a de Polignac number, because none of the positive numbers 2^k-2506434561 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2506434569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 139246356 + ... + 139246373.

It is an arithmetic number, because the mean of its divisors is an integer number (603400915).

Almost surely, 2^2506434561 is an apocalyptic number.

It is an amenable number.

2506434561 is a deficient number, since it is larger than the sum of its proper divisors (1113970929).

2506434561 is a wasteful number, since it uses less digits than its factorization.

2506434561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278492735 (or 278492732 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 2506434561 is about 50064.3042596219. The cubic root of 2506434561 is about 1358.3722164471.

The spelling of 2506434561 in words is "two billion, five hundred six million, four hundred thirty-four thousand, five hundred sixty-one".