30532500 has 180 divisors, whose sum is σ = 102342240. Its totient is φ = 7656000.

The previous prime is 30532499. The next prime is 30532501. The reversal of 30532500 is 523503.

It is an interprime number because it is at equal distance from previous prime (30532499) and next prime (30532501).

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30532501) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 517471 + ... + 517529.

It is an arithmetic number, because the mean of its divisors is an integer number (568568).

Almost surely, 2^30532500 is an apocalyptic number.

30532500 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 30532500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51171120).

30532500 is an abundant number, since it is smaller than the sum of its proper divisors (71809740).

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

30532500 is a wasteful number, since it uses less digits than its factorization.

30532500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 18.

The square root of 30532500 is about 5525.6221369182. The cubic root of 30532500 is about 312.5509250341.

The spelling of 30532500 in words is "thirty million, five hundred thirty-two thousand, five hundred".