658189952 has 96 divisors (see below), whose sum is σ = 1615303620. Its totient is φ = 265445376.

The previous prime is 658189943. The next prime is 658189957. The reversal of 658189952 is 259981856.

It can be written as a sum of positive squares in 2 ways, for example, as 632220736 + 25969216 = 25144^2 + 5096^2 .

It is a Smith number, since the sum of its digits (53) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 658189894 and 658189903.

It is not an unprimeable number, because it can be changed into a prime (658189957) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 103538 + ... + 109710.

Almost surely, 2^658189952 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 658189952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807651810).

658189952 is an abundant number, since it is smaller than the sum of its proper divisors (957113668).

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

658189952 is a wasteful number, since it uses less digits than its factorization.

658189952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6218 (or 6199 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 53.

The square root of 658189952 is about 25655.2129595527. The cubic root of 658189952 is about 869.8621140529.

The spelling of 658189952 in words is "six hundred fifty-eight million, one hundred eighty-nine thousand, nine hundred fifty-two".