258010032 has 160 divisors (see below), whose sum is σ = 788695552. Its totient is φ = 71165952.

The previous prime is 258010031. The next prime is 258010033. The reversal of 258010032 is 230010852.

It is an interprime number because it is at equal distance from previous prime (258010031) and next prime (258010033).

It is a super-2 number, since 2×258010032² = 133138353225282048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 258009990 and 258010008.

It is not an unprimeable number, because it can be changed into a prime (258010031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1643298 + ... + 1643454.

Almost surely, 2^258010032 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 258010032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394347776).

258010032 is an abundant number, since it is smaller than the sum of its proper divisors (530685520).

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

258010032 is a wasteful number, since it uses less digits than its factorization.

258010032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 258010032 is about 16062.6906836931. The cubic root of 258010032 is about 636.6179271857.

Adding to 258010032 its reverse (230010852), we get a palindrome (488020884).

The spelling of 258010032 in words is "two hundred fifty-eight million, ten thousand, thirty-two".