63381193002801 has 24 divisors (see below), whose sum is σ = 96936305009544. Its totient is φ = 39768442859520.

The previous prime is 63381193002769. The next prime is 63381193002817. The reversal of 63381193002801 is 10820039118336.

63381193002801 is a `hidden beast` number, since 6 + 3 + 381 + 193 + 0 + 0 + 2 + 80 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9124356629025 + 54256836373776 = 3020655^2 + 7365924^2 .

It is not a de Polignac number, because 63381193002801 - 2⁵ = 63381193002769 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (63381193202801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51902521 + ... + 53109641.

It is an arithmetic number, because the mean of its divisors is an integer number (4039012708731).

Almost surely, 2^{63381193002801} is an apocalyptic number.

It is an amenable number.

63381193002801 is a deficient number, since it is larger than the sum of its proper divisors (33555112006743).

63381193002801 is a wasteful number, since it uses less digits than its factorization.

63381193002801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1550321 (or 1550318 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 63381193002801 in words is "sixty-three trillion, three hundred eighty-one billion, one hundred ninety-three million, two thousand, eight hundred one".