254163146825025 has 81 divisors (see below), whose sum is σ = 457249974676131. Its totient is φ = 134956153594080.

The previous prime is 254163146825011. The next prime is 254163146825059. The reversal of 254163146825025 is 520528641361452.

The square root of 254163146825025 is 15942495.

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

254163146825025 is a `hidden beast` number, since 2 + 5 + 4 + 1 + 63 + 14 + 68 + 2 + 502 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 91498732857009 + 162664413968016 = 9565497^2 + 12753996^2 .

It is not a de Polignac number, because 254163146825025 - 2⁴³ = 245367053802817 is a prime.

It is an unprimeable number.

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, 57153842352 + ... + 57153846798.

Almost surely, 2^{254163146825025} is an apocalyptic number.

254163146825025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

254163146825025 is the 15942495-th square number.

254163146825025 is the 7971248-th centered octagonal number.

It is an amenable number.

254163146825025 is a deficient number, since it is larger than the sum of its proper divisors (203086827851106).

254163146825025 is an frugal number, since it uses more digits than its factorization.

254163146825025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9388 (or 4694 counting only the distinct ones).

The product of its (nonzero) digits is 13824000, while the sum is 54.

The spelling of 254163146825025 in words is "two hundred fifty-four trillion, one hundred sixty-three billion, one hundred forty-six million, eight hundred twenty-five thousand, twenty-five".