37582603601 has 2 divisors, whose sum is σ = 37582603602. Its totient is φ = 37582603600.

The previous prime is 37582603567. The next prime is 37582603603. The reversal of 37582603601 is 10630628573.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 24196113601 + 13386490000 = 155551^2 + 115700^2 .

It is a cyclic number.

It is not a de Polignac number, because 37582603601 - 2¹⁸ = 37582341457 is a prime.

Together with 37582603603, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (37582603603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18791301800 + 18791301801.

It is an arithmetic number, because the mean of its divisors is an integer number (18791301801).

Almost surely, 2^37582603601 is an apocalyptic number.

It is an amenable number.

37582603601 is a deficient number, since it is larger than the sum of its proper divisors (1).

37582603601 is an equidigital number, since it uses as much as digits as its factorization.

37582603601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 181440, while the sum is 41.

The spelling of 37582603601 in words is "thirty-seven billion, five hundred eighty-two million, six hundred three thousand, six hundred one".