61536663516 has 96 divisors (see below), whose sum is σ = 155898812160. Its totient is φ = 18825675264.

The previous prime is 61536663481. The next prime is 61536663569.

61536663516 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1949935 + ... + 1981241.

It is an arithmetic number, because the mean of its divisors is an integer number (1623945960).

Almost surely, 2^61536663516 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61536663516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77949406080).

61536663516 is an abundant number, since it is smaller than the sum of its proper divisors (94362148644).

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

61536663516 is a wasteful number, since it uses less digits than its factorization.

61536663516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31603 (or 31601 counting only the distinct ones).

The product of its digits is 1749600, while the sum is 48.

The spelling of 61536663516 in words is "sixty-one billion, five hundred thirty-six million, six hundred sixty-three thousand, five hundred sixteen".