258277404100 has 27 divisors (see below), whose sum is σ = 560472995271. Its totient is φ = 103308928800.

The previous prime is 258277404061. The next prime is 258277404131. The reversal of 258277404100 is 1404772852.

The square root of 258277404100 is 508210.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 63591726276 + 194685677824 = 252174^2 + 441232^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5056690 + ... + 5107510.

Almost surely, 2^258277404100 is an apocalyptic number.

258277404100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

258277404100 is the 508210-th square number.

It is an amenable number.

258277404100 is an abundant number, since it is smaller than the sum of its proper divisors (302195591171).

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

258277404100 is an frugal number, since it uses more digits than its factorization.

258277404100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101656 (or 50828 counting only the distinct ones).

The product of its (nonzero) digits is 125440, while the sum is 40.

The spelling of 258277404100 in words is "two hundred fifty-eight billion, two hundred seventy-seven million, four hundred four thousand, one hundred".