61509952144 has 15 divisors (see below), whose sum is σ = 119177454403. Its totient is φ = 30754480048.

The previous prime is 61509952121. The next prime is 61509952169. The reversal of 61509952144 is 44125990516.

The square root of 61509952144 is 248012.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 61509952094 and 61509952103.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 961047 + ... + 1023049.

Almost surely, 2^61509952144 is an apocalyptic number.

61509952144 is the 248012-nd square number.

It is an amenable number.

61509952144 is a deficient number, since it is larger than the sum of its proper divisors (57667502259).

61509952144 is an frugal number, since it uses more digits than its factorization.

61509952144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124014 (or 62005 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 46.

The spelling of 61509952144 in words is "sixty-one billion, five hundred nine million, nine hundred fifty-two thousand, one hundred forty-four".