258872352025 has 27 divisors (see below), whose sum is σ = 373435848669. Its totient is φ = 177500258880.

The previous prime is 258872351977. The next prime is 258872352049. The reversal of 258872352025 is 520253278852.

The square root of 258872352025 is 508795.

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 42546900361 + 216325451664 = 206269^2 + 465108^2 .

It is not a de Polignac number, because 258872352025 - 2¹⁵ = 258872319257 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 258872352025.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 17800557 + ... + 17815093.

Almost surely, 2^258872352025 is an apocalyptic number.

258872352025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

258872352025 is the 508795-th square number.

258872352025 is the 254398-th centered octagonal number.

It is an amenable number.

258872352025 is a deficient number, since it is larger than the sum of its proper divisors (114563496644).

258872352025 is an frugal number, since it uses more digits than its factorization.

258872352025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29098 (or 14549 counting only the distinct ones).

The product of its (nonzero) digits is 2688000, while the sum is 49.

Multiplying 258872352025 by its sum of digits (49), we get a square (12684745249225 = 3561565²).

258872352025 divided by its sum of digits (49) gives a square (5283109225 = 72685²).

The spelling of 258872352025 in words is "two hundred fifty-eight billion, eight hundred seventy-two million, three hundred fifty-two thousand, twenty-five".