252611658 has 48 divisors (see below), whose sum is σ = 591481800. Its totient is φ = 77455872.

The previous prime is 252611651. The next prime is 252611677. The reversal of 252611658 is 856116252.

It can be written as a sum of positive squares in 4 ways, for example, as 18429849 + 234181809 = 4293^2 + 15303^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (252611651) 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 23 ways as a sum of consecutive naturals, for example, 71518 + ... + 74966.

Almost surely, 2^252611658 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252611658, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295740900).

252611658 is an abundant number, since it is smaller than the sum of its proper divisors (338870142).

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

252611658 is a wasteful number, since it uses less digits than its factorization.

252611658 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3783 (or 3780 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 252611658 is about 15893.7616063662. The cubic root of 252611658 is about 632.1465854638.

The spelling of 252611658 in words is "two hundred fifty-two million, six hundred eleven thousand, six hundred fifty-eight".