241577165025 has 243 divisors, whose sum is σ = 523562589459. Its totient is φ = 106165080000.

The previous prime is 241577164981. The next prime is 241577165051. The reversal of 241577165025 is 520561775142.

The square root of 241577165025 is 491505.

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

241577165025 is a `hidden beast` number, since 2 + 4 + 1 + 577 + 1 + 6 + 50 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 86967779409 + 154609385616 = 294903^2 + 393204^2 .

It is not a de Polignac number, because 241577165025 - 2¹⁷ = 241577033953 is a prime.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 1599848700 + ... + 1599848850.

Almost surely, 2^241577165025 is an apocalyptic number.

241577165025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

241577165025 is the 491505-th square number.

241577165025 is the 245753-rd centered octagonal number.

It is an amenable number.

241577165025 is an abundant number, since it is smaller than the sum of its proper divisors (281985424434).

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

241577165025 is a wasteful number, since it uses less digits than its factorization.

241577165025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 588000, while the sum is 45.

The spelling of 241577165025 in words is "two hundred forty-one billion, five hundred seventy-seven million, one hundred sixty-five thousand, twenty-five".