63295215077241 has 135 divisors (see below), whose sum is σ = 110622525162303. Its totient is φ = 35961620012640.

The previous prime is 63295215077209. The next prime is 63295215077243. The reversal of 63295215077241 is 14277051259236.

The square root of 63295215077241 is 7955829.

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

63295215077241 is a `hidden beast` number, since 6 + 3 + 2 + 9 + 5 + 21 + 507 + 72 + 41 = 666.

63295215077241 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., 59886007346025 + 3409207731216 = 7738605^2 + 1846404^2 .

It is not a de Polignac number, because 63295215077241 - 2⁵ = 63295215077209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (63295215077243) by changing a digit.

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 134 ways as a sum of consecutive naturals, for example, 146856647296 + ... + 146856647726.

Almost surely, 2^{63295215077241} is an apocalyptic number.

63295215077241 is the 7955829-th square number.

63295215077241 is the 3977915-th centered octagonal number.

It is an amenable number.

63295215077241 is a deficient number, since it is larger than the sum of its proper divisors (47327310085062).

63295215077241 is an frugal number, since it uses more digits than its factorization.

63295215077241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1474 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 63295215077241 in words is "sixty-three trillion, two hundred ninety-five billion, two hundred fifteen million, seventy-seven thousand, two hundred forty-one".