201315653000 has 256 divisors, whose sum is σ = 589265763840. Its totient is φ = 62539776000.

The previous prime is 201315652999. The next prime is 201315653003. The reversal of 201315653000 is 356513102.

It is not an unprimeable number, because it can be changed into a prime (201315653003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24096824 + ... + 24105176.

It is an arithmetic number, because the mean of its divisors is an integer number (2301819390).

Almost surely, 2^201315653000 is an apocalyptic number.

201315653000 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 201315653000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294632881920).

201315653000 is an abundant number, since it is smaller than the sum of its proper divisors (387950110840).

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

201315653000 is a wasteful number, since it uses less digits than its factorization.

201315653000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8705 (or 8691 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 26.

The spelling of 201315653000 in words is "two hundred one billion, three hundred fifteen million, six hundred fifty-three thousand".