513151452 has 144 divisors (see below), whose sum is σ = 1467648000. Its totient is φ = 149834880.

The previous prime is 513151451. The next prime is 513151469. The reversal of 513151452 is 254151315.

513151452 is a `hidden beast` number, since 513 + 1 + 5 + 145 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513151451) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1470174 + ... + 1470522.

It is an arithmetic number, because the mean of its divisors is an integer number (10192000).

Almost surely, 2^513151452 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 513151452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733824000).

513151452 is an abundant number, since it is smaller than the sum of its proper divisors (954496548).

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

513151452 is a wasteful number, since it uses less digits than its factorization.

513151452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 491 counting only the distinct ones).

The product of its digits is 3000, while the sum is 27.

The square root of 513151452 is about 22652.8464436591. The cubic root of 513151452 is about 800.5992655722.

The spelling of 513151452 in words is "five hundred thirteen million, one hundred fifty-one thousand, four hundred fifty-two".