201025364152563 has 24 divisors (see below), whose sum is σ = 307521122695488. Its totient is φ = 126104611767552.

The previous prime is 201025364152517. The next prime is 201025364152661. The reversal of 201025364152563 is 365251463520102.

201025364152563 is a `hidden beast` number, since 2 + 0 + 1 + 0 + 2 + 5 + 3 + 64 + 1 + 525 + 63 = 666.

It is not a de Polignac number, because 201025364152563 - 2⁸ = 201025364152307 is a prime.

It is a super-2 number, since 2×201025364152563² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (201025364152363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 150112731 + ... + 151445972.

It is an arithmetic number, because the mean of its divisors is an integer number (12813380112312).

Almost surely, 2^{201025364152563} is an apocalyptic number.

201025364152563 is a deficient number, since it is larger than the sum of its proper divisors (106495758542925).

201025364152563 is a wasteful number, since it uses less digits than its factorization.

201025364152563 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301563083 (or 301563080 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 201025364152563 in words is "two hundred one trillion, twenty-five billion, three hundred sixty-four million, one hundred fifty-two thousand, five hundred sixty-three".