30513000 has 128 divisors (see below), whose sum is σ = 108875520. Its totient is φ = 6969600.

The previous prime is 30512987. The next prime is 30513047. The reversal of 30513000 is 31503.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20274 + ... + 21726.

It is an arithmetic number, because the mean of its divisors is an integer number (850590).

Almost surely, 2^30513000 is an apocalyptic number.

30513000 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 30513000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54437760).

30513000 is an abundant number, since it is smaller than the sum of its proper divisors (78362520).

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

30513000 is a wasteful number, since it uses less digits than its factorization.

30513000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1484 (or 1470 counting only the distinct ones).

The product of its (nonzero) digits is 45, while the sum is 12.

The square root of 30513000 is about 5523.8573479046. The cubic root of 30513000 is about 312.4843725519.

Adding to 30513000 its reverse (31503), we get a palindrome (30544503).

The spelling of 30513000 in words is "thirty million, five hundred thirteen thousand".