201314520 has 192 divisors, whose sum is σ = 738784800. Its totient is φ = 47093760.

The previous prime is 201314507. The next prime is 201314537. The reversal of 201314520 is 25413102.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 201314493 and 201314502.

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, 113964 + ... + 115716.

Almost surely, 2^201314520 is an apocalyptic number.

201314520 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 201314520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369392400).

201314520 is an abundant number, since it is smaller than the sum of its proper divisors (537470280).

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

201314520 is a wasteful number, since it uses less digits than its factorization.

201314520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1810 (or 1803 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 201314520 is about 14188.5348080766. The cubic root of 201314520 is about 586.0819774499.

Adding to 201314520 its reverse (25413102), we get a palindrome (226727622).

It can be divided in two parts, 201 and 314520, that added together give a square (314721 = 561²).

The spelling of 201314520 in words is "two hundred one million, three hundred fourteen thousand, five hundred twenty".