25811937365953 has 2 divisors, whose sum is σ = 25811937365954. Its totient is φ = 25811937365952.

The previous prime is 25811937365927. The next prime is 25811937365971. The reversal of 25811937365953 is 35956373911852.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21351127249984 + 4460810115969 = 4620728^2 + 2112063^2 .

It is a cyclic number.

It is not a de Polignac number, because 25811937365953 - 2⁹ = 25811937365441 is a prime.

It is a super-3 number, since 3×25811937365953³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (25811937365453) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 12905968682976 + 12905968682977.

It is an arithmetic number, because the mean of its divisors is an integer number (12905968682977).

Almost surely, 2^{25811937365953} is an apocalyptic number.

It is an amenable number.

25811937365953 is a deficient number, since it is larger than the sum of its proper divisors (1).

25811937365953 is an equidigital number, since it uses as much as digits as its factorization.

25811937365953 is an evil number, because the sum of its binary digits is even.

The product of its digits is 183708000, while the sum is 67.

The spelling of 25811937365953 in words is "twenty-five trillion, eight hundred eleven billion, nine hundred thirty-seven million, three hundred sixty-five thousand, nine hundred fifty-three".