2013507450 has 192 divisors, whose sum is σ = 5709813120. Its totient is φ = 521579520.

The previous prime is 2013507449. The next prime is 2013507481. The reversal of 2013507450 is 547053102.

It is a happy number.

2013507450 is a `hidden beast` number, since 201 + 3 + 5 + 0 + 7 + 450 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10220752 + ... + 10220948.

It is an arithmetic number, because the mean of its divisors is an integer number (29738610).

Almost surely, 2^2013507450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2013507450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2854906560).

2013507450 is an abundant number, since it is smaller than the sum of its proper divisors (3696305670).

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

2013507450 is a wasteful number, since it uses less digits than its factorization.

2013507450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 2013507450 is about 44872.1233061240. The cubic root of 2013507450 is about 1262.7510751181.

The spelling of 2013507450 in words is "two billion, thirteen million, five hundred seven thousand, four hundred fifty".