201241002251520 has 6912 divisors, whose sum is σ = 974221454868480. Its totient is φ = 38569358131200.

The previous prime is 201241002251491. The next prime is 201241002251543. The reversal of 201241002251520 is 25152200142102.

201241002251520 is a `hidden beast` number, since 2 + 0 + 1 + 2 + 4 + 100 + 22 + 515 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (6912).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 2547354458841 + ... + 2547354458919.

It is an arithmetic number, because the mean of its divisors is an integer number (140946391040).

Almost surely, 2^{201241002251520} is an apocalyptic number.

201241002251520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201241002251520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487110727434240).

201241002251520 is an abundant number, since it is smaller than the sum of its proper divisors (772980452616960).

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

201241002251520 is a wasteful number, since it uses less digits than its factorization.

201241002251520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 201241002251520 its reverse (25152200142102), we get a palindrome (226393202393622).

The spelling of 201241002251520 in words is "two hundred one trillion, two hundred forty-one billion, two million, two hundred fifty-one thousand, five hundred twenty".