30513300 has 144 divisors (see below), whose sum is σ = 96993792. Its totient is φ = 7372800.

The previous prime is 30513289. The next prime is 30513311. The reversal of 30513300 is 331503.

30513300 is nontrivially palindromic in base 9.

It is an interprime number because it is at equal distance from previous prime (30513289) and next prime (30513311).

It is a super-2 number, since 2×30513300² = 1862122953780000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 30513300.

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 47 ways as a sum of consecutive naturals, for example, 158004 + ... + 158196.

It is an arithmetic number, because the mean of its divisors is an integer number (673568).

Almost surely, 2^30513300 is an apocalyptic number.

30513300 is a gapful number since it is divisible by the number (30) 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 30513300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48496896).

30513300 is an abundant number, since it is smaller than the sum of its proper divisors (66480492).

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

30513300 is a wasteful number, since it uses less digits than its factorization.

30513300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 15.

The square root of 30513300 is about 5523.8845027752. The cubic root of 30513300 is about 312.4853966509.

Adding to 30513300 its reverse (331503), we get a palindrome (30844803).

The spelling of 30513300 in words is "thirty million, five hundred thirteen thousand, three hundred".