1377987211129 has 27 divisors (see below), whose sum is σ = 1503511610319. Its totient is φ = 1262716011360.

The previous prime is 1377987211079. The next prime is 1377987211171. The reversal of 1377987211129 is 9211127897731.

The square root of 1377987211129 is 1173877.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1008508020025 + 369479191104 = 1004245^2 + 607848^2 .

It is a de Polignac number, because none of the positive numbers 2^k-1377987211129 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1377987211229) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 691412557 + ... + 691414549.

It is an arithmetic number, because the mean of its divisors is an integer number (55685615197).

Almost surely, 2^{1377987211129} is an apocalyptic number.

1377987211129 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

1377987211129 is the 1173877-th square number.

1377987211129 is the 586939-th centered octagonal number.

It is an amenable number.

1377987211129 is a deficient number, since it is larger than the sum of its proper divisors (125524399190).

1377987211129 is an frugal number, since it uses more digits than its factorization.

1377987211129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4086 (or 2043 counting only the distinct ones).

The product of its digits is 2667168, while the sum is 58.

The spelling of 1377987211129 in words is "one trillion, three hundred seventy-seven billion, nine hundred eighty-seven million, two hundred eleven thousand, one hundred twenty-nine".