1025416161 has 96 divisors (see below), whose sum is σ = 1901592576. Its totient is φ = 517104000.

The previous prime is 1025416157. The next prime is 1025416177. The reversal of 1025416161 is 1616145201.

1025416161 is a `hidden beast` number, since 1 + 0 + 2 + 5 + 41 + 616 + 1 = 666.

It is not a de Polignac number, because 1025416161 - 2² = 1025416157 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1025416661) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5368576 + ... + 5368766.

It is an arithmetic number, because the mean of its divisors is an integer number (19808256).

Almost surely, 2^1025416161 is an apocalyptic number.

1025416161 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1025416161 is a deficient number, since it is larger than the sum of its proper divisors (876176415).

1025416161 is a wasteful number, since it uses less digits than its factorization.

1025416161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 1025416161 is about 32022.1198704895. The cubic root of 1025416161 is about 1008.4012745939.

The spelling of 1025416161 in words is "one billion, twenty-five million, four hundred sixteen thousand, one hundred sixty-one".