25264748620997 has 2 divisors, whose sum is σ = 25264748620998. Its totient is φ = 25264748620996.

The previous prime is 25264748620873. The next prime is 25264748621069. The reversal of 25264748620997 is 79902684746252.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 24557188381441 + 707560239556 = 4955521^2 + 841166^2 .

It is a cyclic number.

It is not a de Polignac number, because 25264748620997 - 2²⁸ = 25264480185541 is a prime.

It is a super-3 number, since 3×25264748620997³ (a number of 41 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 25264748620997.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (25264748620297) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 12632374310498 + 12632374310499.

It is an arithmetic number, because the mean of its divisors is an integer number (12632374310499).

Almost surely, 2^{25264748620997} is an apocalyptic number.

It is an amenable number.

25264748620997 is a deficient number, since it is larger than the sum of its proper divisors (1).

25264748620997 is an equidigital number, since it uses as much as digits as its factorization.

25264748620997 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 731566080, while the sum is 71.

The spelling of 25264748620997 in words is "twenty-five trillion, two hundred sixty-four billion, seven hundred forty-eight million, six hundred twenty thousand, nine hundred ninety-seven".