36837258561 has 48 divisors (see below), whose sum is σ = 55250832000. Its totient is φ = 23634167040.

The previous prime is 36837258559. The next prime is 36837258569. The reversal of 36837258561 is 16585273863.

36837258561 is a `hidden beast` number, since 3 + 6 + 8 + 3 + 72 + 5 + 8 + 561 = 666.

36837258561 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 36837258561 - 2¹ = 36837258559 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 36837258498 and 36837258507.

It is not an unprimeable number, because it can be changed into a prime (36837258569) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10526190 + ... + 10529688.

It is an arithmetic number, because the mean of its divisors is an integer number (1151059000).

Almost surely, 2^36837258561 is an apocalyptic number.

It is an amenable number.

36837258561 is a deficient number, since it is larger than the sum of its proper divisors (18413573439).

36837258561 is a wasteful number, since it uses less digits than its factorization.

36837258561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3926 (or 3923 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The spelling of 36837258561 in words is "thirty-six billion, eight hundred thirty-seven million, two hundred fifty-eight thousand, five hundred sixty-one".