1906810242129 has 27 divisors (see below), whose sum is σ = 2982531024603. Its totient is φ = 1173388546512.

The previous prime is 1906810242107. The next prime is 1906810242131. The reversal of 1906810242129 is 9212420186091.

It is a happy number.

The square root of 1906810242129 is 1380873.

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

1906810242129 is a `hidden beast` number, since 190 + 6 + 8 + 10 + 2 + 421 + 29 = 666.

It can be written as a sum of positive squares in only one way, i.e., 282072521025 + 1624737721104 = 531105^2 + 1274652^2 .

It is not a de Polignac number, because 1906810242129 - 2⁵ = 1906810242097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1906810242149) 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, 53836344 + ... + 53871750.

Almost surely, 2^{1906810242129} is an apocalyptic number.

1906810242129 is the 1380873-rd square number.

1906810242129 is the 690437-th centered octagonal number.

It is an amenable number.

1906810242129 is a deficient number, since it is larger than the sum of its proper divisors (1075720782474).

1906810242129 is an frugal number, since it uses more digits than its factorization.

1906810242129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70846 (or 35423 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 1906810242129 in words is "one trillion, nine hundred six billion, eight hundred ten million, two hundred forty-two thousand, one hundred twenty-nine".