30983640027025 has 81 divisors (see below), whose sum is σ = 44918553622971. Its totient is φ = 21138918134880.

The previous prime is 30983640027007. The next prime is 30983640027029. The reversal of 30983640027025 is 52072004638903.

The square root of 30983640027025 is 5566295.

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., 11154110409729 + 19829529617296 = 3339777^2 + 4453036^2 .

It is not a de Polignac number, because 30983640027025 - 2²⁹ = 30983103156113 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a self number, because there is not a number n which added to its sum of digits gives 30983640027025.

It is not an unprimeable number, because it can be changed into a prime (30983640027029) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 69940496454 + ... + 69940496896.

Almost surely, 2^{30983640027025} is an apocalyptic number.

30983640027025 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

30983640027025 is the 5566295-th square number.

30983640027025 is the 2783148-th centered octagonal number.

It is an amenable number.

30983640027025 is a deficient number, since it is larger than the sum of its proper divisors (13934913595946).

30983640027025 is an frugal number, since it uses more digits than its factorization.

30983640027025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1628 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 49.

30983640027025 divided by its sum of digits (49) gives a square (632319184225 = 795185²).

The spelling of 30983640027025 in words is "thirty trillion, nine hundred eighty-three billion, six hundred forty million, twenty-seven thousand, twenty-five".