36561133431 has 128 divisors (see below), whose sum is σ = 61798809600. Its totient is φ = 21263679360.

The previous prime is 36561133409. The next prime is 36561133451. The reversal of 36561133431 is 13433116563.

36561133431 is a `hidden beast` number, since 3 + 6 + 5 + 611 + 3 + 3 + 4 + 31 = 666.

It is not a de Polignac number, because 36561133431 - 2⁷ = 36561133303 is a prime.

It is a super-4 number, since 4×36561133431⁴ (a number of 43 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36561133451) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 24005236 + ... + 24006758.

It is an arithmetic number, because the mean of its divisors is an integer number (482803200).

Almost surely, 2^36561133431 is an apocalyptic number.

36561133431 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

36561133431 is a deficient number, since it is larger than the sum of its proper divisors (25237676169).

36561133431 is a wasteful number, since it uses less digits than its factorization.

36561133431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1658 (or 1652 counting only the distinct ones).

The product of its digits is 58320, while the sum is 36.

Adding to 36561133431 its reverse (13433116563), we get a palindrome (49994249994).

The spelling of 36561133431 in words is "thirty-six billion, five hundred sixty-one million, one hundred thirty-three thousand, four hundred thirty-one".