2513452032 has 616 divisors, whose sum is σ = 9522250976. Its totient is φ = 644972544.

The previous prime is 2513452027. The next prime is 2513452049. The reversal of 2513452032 is 2302543152.

It is a happy number.

2513452032 is a `hidden beast` number, since 2 + 5 + 134 + 520 + 3 + 2 = 666.

It is a super-2 number, since 2×2513452032² = 12634882234329858048, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2513451987 and 2513452005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 67931118 + ... + 67931154.

Almost surely, 2^2513452032 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 2513452032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4761125488).

2513452032 is an abundant number, since it is smaller than the sum of its proper divisors (7008798944).

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

2513452032 is an equidigital number, since it uses as much as digits as its factorization.

2513452032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 2513452032 is about 50134.3398480523. The cubic root of 2513452032 is about 1359.6387506493.

Adding to 2513452032 its reverse (2302543152), we get a palindrome (4815995184).

The spelling of 2513452032 in words is "two billion, five hundred thirteen million, four hundred fifty-two thousand, thirty-two".