30325153248 has 480 divisors, whose sum is σ = 102627290304. Its totient is φ = 8701820928.

The previous prime is 30325153247. The next prime is 30325153249. The reversal of 30325153248 is 84235152303.

30325153248 is a `hidden beast` number, since 3 + 0 + 32 + 51 + 532 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (30325153247) and next prime (30325153249).

It is a super-2 number, since 2×30325153248² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30325153241) 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 79 ways as a sum of consecutive naturals, for example, 95662786 + ... + 95663102.

Almost surely, 2^30325153248 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 30325153248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51313645152).

30325153248 is an abundant number, since it is smaller than the sum of its proper divisors (72302137056).

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

30325153248 is a wasteful number, since it uses less digits than its factorization.

30325153248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 30325153248 in words is "thirty billion, three hundred twenty-five million, one hundred fifty-three thousand, two hundred forty-eight".