10825377129 has 48 divisors (see below), whose sum is σ = 18946636800. Its totient is φ = 5818104288.

The previous prime is 10825377127. The next prime is 10825377161. The reversal of 10825377129 is 92177352801.

10825377129 is a `hidden beast` number, since 10 + 82 + 537 + 7 + 1 + 29 = 666.

It is not a de Polignac number, because 10825377129 - 2¹ = 10825377127 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10825377127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 133852 + ... + 198914.

It is an arithmetic number, because the mean of its divisors is an integer number (394721600).

Almost surely, 2^10825377129 is an apocalyptic number.

10825377129 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

10825377129 is a deficient number, since it is larger than the sum of its proper divisors (8121259671).

10825377129 is a wasteful number, since it uses less digits than its factorization.

10825377129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65234 (or 65231 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 10825377129 in words is "ten billion, eight hundred twenty-five million, three hundred seventy-seven thousand, one hundred twenty-nine".