97403289025 has 81 divisors (see below), whose sum is σ = 145000834587. Its totient is φ = 64716019200.

The previous prime is 97403289023. The next prime is 97403289041. The reversal of 97403289025 is 52098230479.

The square root of 97403289025 is 312095.

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

It can be written as a sum of positive squares in 13 ways, for example, as 4153673601 + 93249615424 = 64449^2 + 305368^2 .

It is not a de Polignac number, because 97403289025 - 2¹ = 97403289023 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 97403289025.

It is not an unprimeable number, because it can be changed into a prime (97403289023) by changing a digit.

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, 404162905 + ... + 404163145.

Almost surely, 2^97403289025 is an apocalyptic number.

97403289025 is the 312095-th square number.

97403289025 is the 156048-th centered octagonal number.

It is an amenable number.

97403289025 is a deficient number, since it is larger than the sum of its proper divisors (47597545562).

97403289025 is an equidigital number, since it uses as much as digits as its factorization.

97403289025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 49.

Multiplying 97403289025 by its sum of digits (49), we get a square (4772761162225 = 2184665²).

97403289025 divided by its sum of digits (49) gives a square (1987822225 = 44585²).

The spelling of 97403289025 in words is "ninety-seven billion, four hundred three million, two hundred eighty-nine thousand, twenty-five".