201501080509248 has 336 divisors, whose sum is σ = 645393608758080. Its totient is φ = 61965526155264.

The previous prime is 201501080509159. The next prime is 201501080509259. The reversal of 201501080509248 is 842905080105102.

201501080509248 is a `hidden beast` number, since 2 + 0 + 1 + 50 + 10 + 80 + 509 + 2 + 4 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 361009648 + ... + 361567376.

It is an arithmetic number, because the mean of its divisors is an integer number (1920814311780).

Almost surely, 2^{201501080509248} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201501080509248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322696804379040).

201501080509248 is an abundant number, since it is smaller than the sum of its proper divisors (443892528248832).

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

201501080509248 is a wasteful number, since it uses less digits than its factorization.

201501080509248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559556 (or 559534 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 201501080509248 in words is "two hundred one trillion, five hundred one billion, eighty million, five hundred nine thousand, two hundred forty-eight".