258081252 has 144 divisors (see below), whose sum is σ = 743758848. Its totient is φ = 68914560.

The previous prime is 258081251. The next prime is 258081259. The reversal of 258081252 is 252180852.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (258081251) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 512833 + ... + 513335.

It is an arithmetic number, because the mean of its divisors is an integer number (5164992).

Almost surely, 2^258081252 is an apocalyptic number.

258081252 is a gapful number since it is divisible by the number (22) 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 258081252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371879424).

258081252 is an abundant number, since it is smaller than the sum of its proper divisors (485677596).

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

258081252 is a wasteful number, since it uses less digits than its factorization.

258081252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 33.

The square root of 258081252 is about 16064.9074693881. The cubic root of 258081252 is about 636.6764982385.

The spelling of 258081252 in words is "two hundred fifty-eight million, eighty-one thousand, two hundred fifty-two".