37141456405813 has 2 divisors, whose sum is σ = 37141456405814. Its totient is φ = 37141456405812.

The previous prime is 37141456405733. The next prime is 37141456405819. The reversal of 37141456405813 is 31850465414173.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19678610579364 + 17462845826449 = 4436058^2 + 4178857^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-37141456405813 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (37141456405819) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18570728202906 + 18570728202907.

It is an arithmetic number, because the mean of its divisors is an integer number (18570728202907).

Almost surely, 2^{37141456405813} is an apocalyptic number.

It is an amenable number.

37141456405813 is a deficient number, since it is larger than the sum of its proper divisors (1).

37141456405813 is an equidigital number, since it uses as much as digits as its factorization.

37141456405813 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4838400, while the sum is 52.

The spelling of 37141456405813 in words is "thirty-seven trillion, one hundred forty-one billion, four hundred fifty-six million, four hundred five thousand, eight hundred thirteen".