61584130852461 has 72 divisors (see below), whose sum is σ = 103888213752960. Its totient is φ = 35051689600704.

The previous prime is 61584130852411. The next prime is 61584130852463. The reversal of 61584130852461 is 16425803148516.

61584130852461 is a `hidden beast` number, since 6 + 1 + 5 + 84 + 1 + 30 + 8 + 524 + 6 + 1 = 666.

It is not a de Polignac number, because 61584130852461 - 2¹¹ = 61584130850413 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 61584130852398 and 61584130852407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61584130852463) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 134818096 + ... + 135274118.

It is an arithmetic number, because the mean of its divisors is an integer number (1442891857680).

Almost surely, 2^{61584130852461} is an apocalyptic number.

It is an amenable number.

61584130852461 is a deficient number, since it is larger than the sum of its proper divisors (42304082900499).

61584130852461 is a wasteful number, since it uses less digits than its factorization.

61584130852461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457255 (or 457245 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 61584130852461 in words is "sixty-one trillion, five hundred eighty-four billion, one hundred thirty million, eight hundred fifty-two thousand, four hundred sixty-one".