201525415053201 has 24 divisors (see below), whose sum is σ = 298122776540160. Its totient is φ = 131139051170400.

The previous prime is 201525415053161. The next prime is 201525415053229. The reversal of 201525415053201 is 102350514525102.

201525415053201 is a `hidden beast` number, since 2 + 0 + 1 + 5 + 254 + 150 + 53 + 201 = 666.

It is not a de Polignac number, because 201525415053201 - 2¹⁰ = 201525415052177 is a prime.

It is a super-2 number, since 2×201525415053201² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (201525415051201) 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 23 ways as a sum of consecutive naturals, for example, 1400986321 + ... + 1401130158.

It is an arithmetic number, because the mean of its divisors is an integer number (12421782355840).

Almost surely, 2^{201525415053201} is an apocalyptic number.

It is an amenable number.

201525415053201 is a deficient number, since it is larger than the sum of its proper divisors (96597361486959).

201525415053201 is a wasteful number, since it uses less digits than its factorization.

201525415053201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2802116677 (or 2802116674 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

Adding to 201525415053201 its reverse (102350514525102), we get a palindrome (303875929578303).

The spelling of 201525415053201 in words is "two hundred one trillion, five hundred twenty-five billion, four hundred fifteen million, fifty-three thousand, two hundred one".