61953201216 has 105 divisors (see below), whose sum is σ = 183701835669. Its totient is φ = 20645093376.

The previous prime is 61953201209. The next prime is 61953201221. The reversal of 61953201216 is 61210235916.

The square root of 61953201216 is 248904.

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

61953201216 is a `hidden beast` number, since 619 + 5 + 3 + 20 + 1 + 2 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 892814400 + 61060386816 = 29880^2 + 247104^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 17919360 + ... + 17922816.

Almost surely, 2^61953201216 is an apocalyptic number.

61953201216 is the 248904-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61953201216

61953201216 is an abundant number, since it is smaller than the sum of its proper divisors (121748634453).

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

61953201216 is an frugal number, since it uses more digits than its factorization.

61953201216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6938 (or 3462 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

Multiplying 61953201216 by its sum of digits (36), we get a square (2230315243776 = 1493424²).

61953201216 divided by its sum of digits (36) gives a square (1720922256 = 41484²).

It can be divided in two parts, 61953 and 201216, that added together give a square (263169 = 513²).

The spelling of 61953201216 in words is "sixty-one billion, nine hundred fifty-three million, two hundred one thousand, two hundred sixteen".