20461872025 has 81 divisors (see below), whose sum is σ = 30461544477. Its totient is φ = 13594996800.

The previous prime is 20461871987. The next prime is 20461872047. The reversal of 20461872025 is 52027816402.

It is a happy number.

The square root of 20461872025 is 143045.

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

It can be written as a sum of positive squares in 4 ways, for example, as 9425108889 + 11036763136 = 97083^2 + 105056^2 .

It is not a de Polignac number, because 20461872025 - 2²³ = 20453483417 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 305401042 + ... + 305401108.

Almost surely, 2^20461872025 is an apocalyptic number.

20461872025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

20461872025 is the 143045-th square number.

20461872025 is the 71523-rd centered octagonal number.

It is an amenable number.

20461872025 is a deficient number, since it is larger than the sum of its proper divisors (9999672452).

20461872025 is an frugal number, since it uses more digits than its factorization.

20461872025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 37.

The spelling of 20461872025 in words is "twenty billion, four hundred sixty-one million, eight hundred seventy-two thousand, twenty-five".