61541263590976 has 63 divisors (see below), whose sum is σ = 132239226036513. Its totient is φ = 28403283567360.

The previous prime is 61541263590959. The next prime is 61541263590997. The reversal of 61541263590976 is 67909536214516.

The square root of 61541263590976 is 7844824.

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

61541263590976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 9103737217600 + 52437526373376 = 3017240^2 + 7241376^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 815823981 + ... + 815899411.

Almost surely, 2^{61541263590976} is an apocalyptic number.

61541263590976 is the 7844824-th square number.

It is an amenable number.

61541263590976 is an abundant number, since it is smaller than the sum of its proper divisors (70697962445537).

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

61541263590976 is an frugal number, since it uses more digits than its factorization.

61541263590976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150900 (or 75446 counting only the distinct ones).

The product of its (nonzero) digits is 73483200, while the sum is 64.

61541263590976 divided by its sum of digits (64) gives a square (961582243609 = 980603²).

The spelling of 61541263590976 in words is "sixty-one trillion, five hundred forty-one billion, two hundred sixty-three million, five hundred ninety thousand, nine hundred seventy-six".