958225152 has 54 divisors (see below), whose sum is σ = 2552561508. Its totient is φ = 319122432.

The previous prime is 958225141. The next prime is 958225153. The reversal of 958225152 is 251522859.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 958225152.

It is not an unprimeable number, because it can be changed into a prime (958225153) 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 5 ways as a sum of consecutive naturals, for example, 857298 + ... + 858414.

Almost surely, 2^958225152 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 958225152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1276280754).

958225152 is an abundant number, since it is smaller than the sum of its proper divisors (1594336356).

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

958225152 is an frugal number, since it uses more digits than its factorization.

958225152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2253 (or 1122 counting only the distinct ones).

The product of its digits is 72000, while the sum is 39.

The square root of 958225152 is about 30955.2120328710. The cubic root of 958225152 is about 985.8765169774.

The spelling of 958225152 in words is "nine hundred fifty-eight million, two hundred twenty-five thousand, one hundred fifty-two".