825011427141 has 20 divisors (see below), whose sum is σ = 1344463067904. Its totient is φ = 500006925000.

The previous prime is 825011427113. The next prime is 825011427169. The reversal of 825011427141 is 141724110528.

825011427141 is a `hidden beast` number, since 8 + 2 + 501 + 1 + 4 + 2 + 7 + 141 = 666.

It is an interprime number because it is at equal distance from previous prime (825011427113) and next prime (825011427169).

It is not a de Polignac number, because 825011427141 - 2⁶ = 825011427077 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 825011427096 and 825011427105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825011427101) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 462968485 + ... + 462970266.

Almost surely, 2^825011427141 is an apocalyptic number.

825011427141 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

It is an amenable number.

825011427141 is a deficient number, since it is larger than the sum of its proper divisors (519451640763).

825011427141 is a wasteful number, since it uses less digits than its factorization.

825011427141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 925938774 (or 925938765 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

Adding to 825011427141 its reverse (141724110528), we get a palindrome (966735537669).

The spelling of 825011427141 in words is "eight hundred twenty-five billion, eleven million, four hundred twenty-seven thousand, one hundred forty-one".