201580050 has 192 divisors, whose sum is σ = 632530944. Its totient is φ = 41395200.

The previous prime is 201580037. The next prime is 201580061. The reversal of 201580050 is 50085102.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 201579999 and 201580026.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 410305 + ... + 410795.

It is an arithmetic number, because the mean of its divisors is an integer number (3294432).

Almost surely, 2^201580050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201580050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316265472).

201580050 is an abundant number, since it is smaller than the sum of its proper divisors (430950894).

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

201580050 is a wasteful number, since it uses less digits than its factorization.

201580050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 201580050 is about 14197.8889275836. Note that the first 3 decimals coincide. The cubic root of 201580050 is about 586.3395412140.

The spelling of 201580050 in words is "two hundred one million, five hundred eighty thousand, fifty".