238285541025 has 81 divisors (see below), whose sum is σ = 496583655321. Its totient is φ = 108907102080.

The previous prime is 238285541023. The next prime is 238285541047. The reversal of 238285541025 is 520145582832.

The square root of 238285541025 is 488145.

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

238285541025 is a `hidden beast` number, since 2 + 3 + 8 + 2 + 85 + 541 + 0 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 54110668689 + 184174872336 = 232617^2 + 429156^2 .

It is not a de Polignac number, because 238285541025 - 2¹ = 238285541023 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (238285541023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 51252901 + ... + 51257549.

Almost surely, 2^238285541025 is an apocalyptic number.

238285541025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

238285541025 is the 488145-th square number.

238285541025 is the 244073-rd centered octagonal number.

It is an amenable number.

238285541025 is an abundant number, since it is smaller than the sum of its proper divisors (258298114296).

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

238285541025 is an frugal number, since it uses more digits than its factorization.

238285541025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9328 (or 4664 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 45.

The spelling of 238285541025 in words is "two hundred thirty-eight billion, two hundred eighty-five million, five hundred forty-one thousand, twenty-five".