2137872577 has 2 divisors, whose sum is σ = 2137872578. Its totient is φ = 2137872576.

The previous prime is 2137872523. The next prime is 2137872589. The reversal of 2137872577 is 7752787312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1549130881 + 588741696 = 39359^2 + 24264^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2137872577 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2137872577.

It is not a weakly prime, because it can be changed into another prime (2137872677) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1068936288 + 1068936289.

It is an arithmetic number, because the mean of its divisors is an integer number (1068936289).

Almost surely, 2^2137872577 is an apocalyptic number.

It is an amenable number.

2137872577 is a deficient number, since it is larger than the sum of its proper divisors (1).

2137872577 is an equidigital number, since it uses as much as digits as its factorization.

2137872577 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1152480, while the sum is 49.

The square root of 2137872577 is about 46237.1341780608. The cubic root of 2137872577 is about 1288.2315725701.

The spelling of 2137872577 in words is "two billion, one hundred thirty-seven million, eight hundred seventy-two thousand, five hundred seventy-seven".