2513152628 has 48 divisors (see below), whose sum is σ = 5182786560. Its totient is φ = 1043767296.

The previous prime is 2513152627. The next prime is 2513152633. The reversal of 2513152628 is 8262513152.

It is a super-2 number, since 2×2513152628² = 12631872263246612768, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2513152627) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 261533 + ... + 270971.

It is an arithmetic number, because the mean of its divisors is an integer number (107974720).

Almost surely, 2^2513152628 is an apocalyptic number.

2513152628 is a gapful number since it is divisible by the number (28) 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 2513152628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2591393280).

2513152628 is an abundant number, since it is smaller than the sum of its proper divisors (2669633932).

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

2513152628 is a wasteful number, since it uses less digits than its factorization.

2513152628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9744 (or 9742 counting only the distinct ones).

The product of its digits is 28800, while the sum is 35.

The square root of 2513152628 is about 50131.3537419448. The cubic root of 2513152628 is about 1359.5847614954.

The spelling of 2513152628 in words is "two billion, five hundred thirteen million, one hundred fifty-two thousand, six hundred twenty-eight".