61542624516 has 48 divisors (see below), whose sum is σ = 145149254208. Its totient is φ = 20293168000.

The previous prime is 61542624503. The next prime is 61542624541.

61542624516 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1387726 + ... + 1431386.

It is an arithmetic number, because the mean of its divisors is an integer number (3023942796).

Almost surely, 2^61542624516 is an apocalyptic number.

It is an amenable number.

61542624516 is an abundant number, since it is smaller than the sum of its proper divisors (83606629692).

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

61542624516 is a wasteful number, since it uses less digits than its factorization.

61542624516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44932 (or 44930 counting only the distinct ones).

The product of its digits is 345600, while the sum is 42.

The spelling of 61542624516 in words is "sixty-one billion, five hundred forty-two million, six hundred twenty-four thousand, five hundred sixteen".