10097491299025 has 243 divisors, whose sum is σ = 14966032119057. Its totient is φ = 6753915043200.

The previous prime is 10097491299013. The next prime is 10097491299029. The reversal of 10097491299025 is 52099219479001.

The square root of 10097491299025 is 3177655.

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 2602643319441 + 7494847979584 = 1613271^2 + 2737672^2 .

It is not a de Polignac number, because 10097491299025 - 2⁷ = 10097491298897 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10097491299029) 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 242 ways as a sum of consecutive naturals, for example, 121656521634 + ... + 121656521716.

Almost surely, 2^{10097491299025} is an apocalyptic number.

10097491299025 is the 3177655-th square number.

10097491299025 is the 1588828-th centered octagonal number.

It is an amenable number.

10097491299025 is a deficient number, since it is larger than the sum of its proper divisors (4868540820032).

10097491299025 is an equidigital number, since it uses as much as digits as its factorization.

10097491299025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 58.

The spelling of 10097491299025 in words is "ten trillion, ninety-seven billion, four hundred ninety-one million, two hundred ninety-nine thousand, twenty-five".