2137545185057 has 2 divisors, whose sum is σ = 2137545185058. Its totient is φ = 2137545185056.

The previous prime is 2137545185051. The next prime is 2137545185129. The reversal of 2137545185057 is 7505815457312.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1289385231121 + 848159953936 = 1135511^2 + 920956^2 .

It is a cyclic number.

It is not a de Polignac number, because 2137545185057 - 2²⁴ = 2137528407841 is a prime.

It is not a weakly prime, because it can be changed into another prime (2137545185051) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1068772592528 + 1068772592529.

It is an arithmetic number, because the mean of its divisors is an integer number (1068772592529).

Almost surely, 2^{2137545185057} is an apocalyptic number.

It is an amenable number.

2137545185057 is a deficient number, since it is larger than the sum of its proper divisors (1).

2137545185057 is an equidigital number, since it uses as much as digits as its factorization.

2137545185057 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5880000, while the sum is 53.

The spelling of 2137545185057 in words is "two trillion, one hundred thirty-seven billion, five hundred forty-five million, one hundred eighty-five thousand, fifty-seven".