6461525538 has 96 divisors (see below), whose sum is σ = 15382785600. Its totient is φ = 1948053888.

The previous prime is 6461525533. The next prime is 6461525557. The reversal of 6461525538 is 8355251646.

6461525538 is a `hidden beast` number, since 6 + 4 + 61 + 52 + 5 + 538 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 6461525493 and 6461525502.

It is not an unprimeable number, because it can be changed into a prime (6461525533) 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 47 ways as a sum of consecutive naturals, for example, 5784156 + ... + 5785272.

It is an arithmetic number, because the mean of its divisors is an integer number (160237350).

Almost surely, 2^6461525538 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6461525538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7691392800).

6461525538 is an abundant number, since it is smaller than the sum of its proper divisors (8921260062).

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

6461525538 is a wasteful number, since it uses less digits than its factorization.

6461525538 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1616 (or 1613 counting only the distinct ones).

The product of its digits is 864000, while the sum is 45.

The square root of 6461525538 is about 80383.6148602438. The cubic root of 6461525538 is about 1862.5660749076.

The spelling of 6461525538 in words is "six billion, four hundred sixty-one million, five hundred twenty-five thousand, five hundred thirty-eight".