25213564000577 has 2 divisors, whose sum is σ = 25213564000578. Its totient is φ = 25213564000576.

The previous prime is 25213564000519. The next prime is 25213564000643. The reversal of 25213564000577 is 77500046531252.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 24292714567696 + 920849432881 = 4928764^2 + 959609^2 .

It is a cyclic number.

It is not a de Polignac number, because 25213564000577 - 2²² = 25213559806273 is a prime.

It is a super-2 number, since 2×25213564000577² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (25213564020577) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 12606782000288 + 12606782000289.

It is an arithmetic number, because the mean of its divisors is an integer number (12606782000289).

Almost surely, 2^{25213564000577} is an apocalyptic number.

It is an amenable number.

25213564000577 is a deficient number, since it is larger than the sum of its proper divisors (1).

25213564000577 is an equidigital number, since it uses as much as digits as its factorization.

25213564000577 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1764000, while the sum is 47.

The spelling of 25213564000577 in words is "twenty-five trillion, two hundred thirteen billion, five hundred sixty-four million, five hundred seventy-seven", and thus it is an aban number.