36257126401 has 4 divisors (see below), whose sum is σ = 36301833904. Its totient is φ = 36212418900.

The previous prime is 36257126359. The next prime is 36257126429. The reversal of 36257126401 is 10462175263.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 10462175263 = 157 ⋅66638059.

It is a cyclic number.

It is not a de Polignac number, because 36257126401 - 2⁹ = 36257125889 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (36257126471) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22352535 + ... + 22354156.

It is an arithmetic number, because the mean of its divisors is an integer number (9075458476).

Almost surely, 2^36257126401 is an apocalyptic number.

It is an amenable number.

36257126401 is a deficient number, since it is larger than the sum of its proper divisors (44707503).

36257126401 is an equidigital number, since it uses as much as digits as its factorization.

36257126401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44707502.

The product of its (nonzero) digits is 60480, while the sum is 37.

It can be divided in two parts, 3 and 6257126401, that added together give a square (6257126404 = 79102²).

The spelling of 36257126401 in words is "thirty-six billion, two hundred fifty-seven million, one hundred twenty-six thousand, four hundred one".