1023680025 has 81 divisors (see below), whose sum is σ = 1928353791. Its totient is φ = 539051760.

The previous prime is 1023680017. The next prime is 1023680033. The reversal of 1023680025 is 5200863201.

The square root of 1023680025 is 31995.

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

It is an interprime number because it is at equal distance from previous prime (1023680017) and next prime (1023680033).

It can be written as a sum of positive squares in only one way, i.e., 368524809 + 655155216 = 19197^2 + 25596^2 .

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 1023680025 - 2³ = 1023680017 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 12957936 + ... + 12958014.

Almost surely, 2^1023680025 is an apocalyptic number.

1023680025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1023680025 is the 31995-th square number.

1023680025 is the 15998-th centered octagonal number.

It is an amenable number.

1023680025 is a deficient number, since it is larger than the sum of its proper divisors (904673766).

1023680025 is an frugal number, since it uses more digits than its factorization.

1023680025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The cubic root of 1023680025 is about 1007.8318437607.

The spelling of 1023680025 in words is "one billion, twenty-three million, six hundred eighty thousand, twenty-five".