36828407586133 has 8 divisors (see below), whose sum is σ = 38098559993400. Its totient is φ = 35558269000128.

The previous prime is 36828407586121. The next prime is 36828407586169. The reversal of 36828407586133 is 33168570482863.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 13444674223204 + 23383733362929 = 3666698^2 + 4835673^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 36828407586133 - 2⁵ = 36828407586101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36828407556133) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2118223 + ... + 8839891.

It is an arithmetic number, because the mean of its divisors is an integer number (4762319999175).

Almost surely, 2^{36828407586133} is an apocalyptic number.

It is an amenable number.

36828407586133 is a deficient number, since it is larger than the sum of its proper divisors (1270152407267).

36828407586133 is a wasteful number, since it uses less digits than its factorization.

36828407586133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6910631.

The product of its (nonzero) digits is 139345920, while the sum is 64.

The spelling of 36828407586133 in words is "thirty-six trillion, eight hundred twenty-eight billion, four hundred seven million, five hundred eighty-six thousand, one hundred thirty-three".