61007588541 has 24 divisors (see below), whose sum is σ = 89785560384. Its totient is φ = 39908689920.

The previous prime is 61007588539. The next prime is 61007588567. The reversal of 61007588541 is 14588570016.

61007588541 is a `hidden beast` number, since 6 + 10 + 0 + 7 + 588 + 54 + 1 = 666.

It is not a de Polignac number, because 61007588541 - 2¹ = 61007588539 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61007588501) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41865 + ... + 351806.

It is an arithmetic number, because the mean of its divisors is an integer number (3741065016).

Almost surely, 2^61007588541 is an apocalyptic number.

It is an amenable number.

61007588541 is a deficient number, since it is larger than the sum of its proper divisors (28777971843).

61007588541 is a wasteful number, since it uses less digits than its factorization.

61007588541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394001 (or 393998 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The spelling of 61007588541 in words is "sixty-one billion, seven million, five hundred eighty-eight thousand, five hundred forty-one".