26363593433401 has 27 divisors (see below), whose sum is σ = 30795946699791. Its totient is φ = 22503372746064.

The previous prime is 26363593433399. The next prime is 26363593433407. The reversal of 26363593433401 is 10433439536362.

The square root of 26363593433401 is 5134549.

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

It can be written as a sum of positive squares in only one way, i.e., 16568571343401 + 9795022090000 = 4070451^2 + 3129700^2 .

It is not a de Polignac number, because 26363593433401 - 2¹ = 26363593433399 is a prime.

It is not an unprimeable number, because it can be changed into a prime (26363593433407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9452703315 + ... + 9452706103.

Almost surely, 2^{26363593433401} is an apocalyptic number.

26363593433401 is the 5134549-th square number.

26363593433401 is the 2567275-th centered octagonal number.

It is an amenable number.

26363593433401 is a deficient number, since it is larger than the sum of its proper divisors (4432353266390).

26363593433401 is an frugal number, since it uses more digits than its factorization.

26363593433401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6118 (or 3059 counting only the distinct ones).

The product of its (nonzero) digits is 12597120, while the sum is 52.

The spelling of 26363593433401 in words is "twenty-six trillion, three hundred sixty-three billion, five hundred ninety-three million, four hundred thirty-three thousand, four hundred one".