4251692025 has 243 divisors, whose sum is σ = 9616142991. Its totient is φ = 1859124960.

The previous prime is 4251692023. The next prime is 4251692083. The reversal of 4251692025 is 5202961524.

The square root of 4251692025 is 65205.

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., 1530609129 + 2721082896 = 39123^2 + 52164^2 .

It is a tau number, because it is divible by the number of its divisors (243).

It is not a de Polignac number, because 4251692025 - 2¹ = 4251692023 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4251692023) by changing a digit.

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 242 ways as a sum of consecutive naturals, for example, 184856164 + ... + 184856186.

Almost surely, 2^4251692025 is an apocalyptic number.

4251692025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4251692025 is the 65205-th square number.

4251692025 is the 32603-rd centered octagonal number.

It is an amenable number.

4251692025 is an abundant number, since it is smaller than the sum of its proper divisors (5364450966).

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

4251692025 is an frugal number, since it uses more digits than its factorization.

4251692025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The cubic root of 4251692025 is about 1620.0208330654.

Multiplying 4251692025 by its sum of digits (36), we get a square (153060912900 = 391230²).

The spelling of 4251692025 in words is "four billion, two hundred fifty-one million, six hundred ninety-two thousand, twenty-five".