254390105641 has 9 divisors (see below), whose sum is σ = 295927291191. Its totient is φ = 218045635752.

The previous prime is 254390105623. The next prime is 254390105663. The reversal of 254390105641 is 146501093452.

The square root of 254390105641 is 504371.

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

It can be written as a sum of positive squares in only one way, i.e., 23986265625 + 230403840016 = 154875^2 + 480004^2 .

It is not a de Polignac number, because 254390105641 - 2²¹ = 254388008489 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 254390105594 and 254390105603.

It is not an unprimeable number, because it can be changed into a prime (254390105341) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3494571 + ... + 3566623.

Almost surely, 2^254390105641 is an apocalyptic number.

254390105641 is the 504371-st square number.

254390105641 is the 252186-th centered octagonal number.

It is an amenable number.

254390105641 is a deficient number, since it is larger than the sum of its proper divisors (41537185550).

254390105641 is an frugal number, since it uses more digits than its factorization.

254390105641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144120 (or 72060 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 40.

The spelling of 254390105641 in words is "two hundred fifty-four billion, three hundred ninety million, one hundred five thousand, six hundred forty-one".