250241058081 has 135 divisors (see below), whose sum is σ = 437483223827. Its totient is φ = 137826400320.

The previous prime is 250241058079. The next prime is 250241058091. The reversal of 250241058081 is 180850142052.

The square root of 250241058081 is 500241.

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

250241058081 is a `hidden beast` number, since 2 + 50 + 24 + 1 + 0 + 580 + 8 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12058016481 + 238183041600 = 109809^2 + 488040^2 .

It is not a de Polignac number, because 250241058081 - 2¹ = 250241058079 is a prime.

It is a super-2 number, since 2×250241058081² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (250241058091) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 3014952466 + ... + 3014952548.

Almost surely, 2^250241058081 is an apocalyptic number.

250241058081 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

250241058081 is the 500241-st square number.

250241058081 is the 250121-st centered octagonal number.

It is an amenable number.

250241058081 is a deficient number, since it is larger than the sum of its proper divisors (187242165746).

250241058081 is an frugal number, since it uses more digits than its factorization.

250241058081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

Multiplying 250241058081 by its sum of digits (36), we get a square (9008678090916 = 3001446²).

The spelling of 250241058081 in words is "two hundred fifty billion, two hundred forty-one million, fifty-eight thousand, eighty-one".