254824049601 has 45 divisors (see below), whose sum is σ = 418496871793. Its totient is φ = 154408529880.

The previous prime is 254824049581. The next prime is 254824049633. The reversal of 254824049601 is 106940428452.

It is a happy number.

The square root of 254824049601 is 504801.

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

254824049601 is a `hidden beast` number, since 2 + 548 + 2 + 4 + 0 + 49 + 60 + 1 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-254824049601 is a prime.

It is not an unprimeable number, because it can be changed into a prime (254824049681) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 49972750 + ... + 49977848.

Almost surely, 2^254824049601 is an apocalyptic number.

254824049601 is the 504801-st square number.

254824049601 is the 252401-st centered octagonal number.

It is an amenable number.

254824049601 is a deficient number, since it is larger than the sum of its proper divisors (163672822192).

254824049601 is an frugal number, since it uses more digits than its factorization.

254824049601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10232 (or 5113 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 254824049601 in words is "two hundred fifty-four billion, eight hundred twenty-four million, forty-nine thousand, six hundred one".